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103012213320 = 23345171870229
BaseRepresentation
bin101111111110000000…
…0011010001001001000
3100211220002122122010000
41133330000122021020
53141432111311240
6115153445123000
710304511236352
oct1377400321110
9324802578100
10103012213320
113a7617885a5
1217b6a6b9460
1399388ac0a3
144db31260d2
152a2d8e2430
hex17fc01a248

103012213320 has 160 divisors (see below), whose sum is σ = 366602484600. Its totient is φ = 25854031872.

The previous prime is 103012213319. The next prime is 103012213331. The reversal of 103012213320 is 23312210301.

103012213320 is a `hidden beast` number, since 10 + 301 + 2 + 21 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62681131044 + 40331082276 = 250362^2 + 200826^2 .

It is a super-2 number, since 2×1030122133202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103012213293 and 103012213302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880035 + ... + 990194.

Almost surely, 2103012213320 is an apocalyptic number.

103012213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103012213320 is an abundant number, since it is smaller than the sum of its proper divisors (263590271280).

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

103012213320 is a wasteful number, since it uses less digits than its factorization.

103012213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870269 (or 1870256 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103012213320 its reverse (23312210301), we get a palindrome (126324423621).

The spelling of 103012213320 in words is "one hundred three billion, twelve million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 1870229 3740458 5610687 7480916 9351145 11221374 14961832 16832061 18702290 22442748 28053435 31793893 33664122 37404580 44885496 50496183 56106870 63587786 67328244 74809160 84160305 95381679 100992366 112213740 127175572 134656488 151488549 158969465 168320610 190763358 201984732 224427480 252480915 254351144 286145037 302977098 317938930 336641220 381526716 403969464 476908395 504961830 572290074 605954196 635877860 673282440 757442745 763053432 858435111 953816790 1009923660 1144580148 1211908392 1271755720 1430725185 1514885490 1716870222 1907633580 2019847320 2289160296 2575305333 2861450370 3029770980 3433740444 3815267160 4292175555 5150610666 5722900740 6059541960 6867480888 8584351110 10301221332 11445801480 12876526665 17168702220 20602442664 25753053330 34337404440 51506106660 103012213320