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103011213323322 = 23417411300770139
BaseRepresentation
bin10111011011000000101010…
…110001110010110000111010
3111111201202221120102122120000
4113123000222301302300322
5102000213431102321242
61003030410442413430
730461212616110143
oct2733005261626072
9444652846378500
10103011213323322
112a9058a0473707
12b67831ab01276
134562bb9b40bb5
141b61aab068aca
15bd985868ea4c
hex5db02ac72c3a

103011213323322 has 160 divisors (see below), whose sum is σ = 250382925999360. Its totient is φ = 31526144455680.

The previous prime is 103011213323299. The next prime is 103011213323383. The reversal of 103011213323322 is 223323312110301.

103011213323322 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 1 + 2 + 1 + 332 + 3 + 322 = 666.

It is a super-2 number, since 2×1030112133233222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1468637329 + ... + 1468707467.

It is an arithmetic number, because the mean of its divisors is an integer number (1564893287496).

Almost surely, 2103011213323322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103011213323322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125191462999680).

103011213323322 is an abundant number, since it is smaller than the sum of its proper divisors (147371712676038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103011213323322 is a wasteful number, since it uses less digits than its factorization.

103011213323322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83218 (or 83209 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103011213323322 its reverse (223323312110301), we get a palindrome (326334525433623).

The spelling of 103011213323322 in words is "one hundred three trillion, eleven billion, two hundred thirteen million, three hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 81 82 102 123 153 162 246 306 369 459 697 738 918 1107 1377 1394 2091 2214 2754 3321 4182 6273 6642 12546 13007 18819 26014 37638 39021 56457 70139 78042 112914 117063 140278 210417 221119 234126 351189 420834 442238 533287 631251 663357 702378 1053567 1066574 1192363 1262502 1326714 1599861 1893753 1990071 2107134 2384726 2875699 3199722 3577089 3787506 3980142 4799583 5681259 5751398 5970213 7154178 8627097 9065879 9599166 10731267 11362518 11940426 14398749 17254194 17910639 18131758 21462534 25881291 27197637 28797498 32193801 35821278 43196247 48886883 51762582 54395274 64387602 77643873 81592911 86392494 96581403 97773766 146660649 155287746 163185822 193162806 232931619 244778733 293321298 439981947 465863238 489557466 734336199 879963894 912297973 1319945841 1468672398 1824595946 2639891682 2736893919 3959837523 5473787838 7919675046 8210681757 15509065541 16421363514 24632045271 31018131082 37404216893 46527196623 49264090542 73896135813 74808433786 93054393246 112212650679 139581589869 147792271626 224425301358 279163179738 336637952037 418744769607 635871687181 673275904074 837489539214 1009913856111 1256234308821 1271743374362 1907615061543 2019827712222 2512468617642 3029741568333 3815230123086 5722845184629 6059483136666 11445690369258 17168535553887 34337071107774 51505606661661 103011213323322