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10121223294 = 2347133122147
BaseRepresentation
bin10010110110100010…
…11001110001111110
3222010100212102020000
421123101121301332
5131212013121134
64352152535130
7505545656430
oct113321316176
928110772200
1010121223294
114324191956
121b656b14a6
13c53b52130
146c02ba650
153e3855e99
hex25b459c7e

10121223294 has 160 divisors (see below), whose sum is σ = 28814370816. Its totient is φ = 2583109440.

The previous prime is 10121223293. The next prime is 10121223323. The reversal of 10121223294 is 49232212101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121223293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 445929 + ... + 468075.

Almost surely, 210121223294 is an apocalyptic number.

10121223294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121223294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407185408).

10121223294 is an abundant number, since it is smaller than the sum of its proper divisors (18693147522).

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

10121223294 is a wasteful number, since it uses less digits than its factorization.

10121223294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22212 (or 22203 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10121223294 its reverse (49232212101), we get a palindrome (59353435395).

The spelling of 10121223294 in words is "ten billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 81 91 93 117 126 162 182 186 189 217 234 273 279 351 378 403 434 546 558 567 651 702 806 819 837 1053 1134 1209 1302 1638 1674 1953 2106 2418 2457 2511 2821 3627 3906 4914 5022 5642 5859 7254 7371 8463 10881 11718 14742 16926 17577 21762 22147 25389 32643 35154 44294 50778 65286 66441 76167 132882 152334 155029 199323 228501 287911 310058 398646 457002 465087 575822 597969 686557 863733 930174 1195938 1373114 1395261 1727466 1793907 2015377 2059671 2591199 2790522 3587814 4030754 4119342 4185783 4805899 5182398 6046131 6179013 7773597 8371566 8925241 9611798 12092262 12358026 12557349 14417697 15547194 17850482 18138393 18537039 23320791 25114698 26775723 28835394 36276786 37074078 43253091 46641582 53551446 54415179 55611117 62476687 80327169 86506182 108830358 111222234 124953374 129759273 160654338 163245537 187430061 240981507 259518546 326491074 374860122 389277819 481963014 562290183 722944521 778555638 1124580366 1445889042 1686870549 3373741098 5060611647 10121223294