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12100056571098 = 23717934317417
BaseRepresentation
bin1011000000010100001110…
…0100101101110011011010
31120211202100202011120000000
42300011003210231303122
53041221403440233343
641422404513353430
72356125452564226
oct260050344556332
946752322146000
1012100056571098
113945672539681
1214350a4568876
1369a051b48642
142db908367786
1515eb3c0d1ed3
hexb014392dcda

12100056571098 has 128 divisors (see below), whose sum is σ = 28826951639040. Its totient is φ = 3795471945216.

The previous prime is 12100056571051. The next prime is 12100056571103. The reversal of 12100056571098 is 89017565000121.

12100056571098 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 0 + 565 + 71 + 0 + 9 + 8 = 666.

It is a super-2 number, since 2×121000565710982 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694718086 + ... + 694735502.

It is an arithmetic number, because the mean of its divisors is an integer number (225210559680).

Almost surely, 212100056571098 is an apocalyptic number.

12100056571098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100056571098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14413475819520).

12100056571098 is an abundant number, since it is smaller than the sum of its proper divisors (16726895067942).

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

12100056571098 is an equidigital number, since it uses as much as digits as its factorization.

12100056571098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26800 (or 26782 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 12100056571098 in words is "twelve trillion, one hundred billion, fifty-six million, five hundred seventy-one thousand, ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2187 2754 4131 4374 8262 9343 12393 17417 18686 24786 28029 34834 37179 52251 56058 74358 84087 104502 156753 158831 168174 252261 296089 313506 317662 470259 476493 504522 592178 756783 888267 940518 952986 1410777 1429479 1513566 1776534 2270349 2664801 2821554 2858958 4232331 4288437 4540698 5329602 6811047 7994403 8464662 8576874 12696993 12865311 13622094 15988806 20433141 23983209 25393986 25730622 38090979 38595933 40866282 47966418 71949627 76181958 77191866 115787799 143899254 162727031 215848881 231575598 325454062 347363397 431697762 488181093 647546643 694726794 976362186 1295093286 1464543279 2766359527 2929086558 4393629837 5532719054 8299078581 8787259674 13180889511 16598157162 24897235743 26361779022 39542668533 49794471486 74691707229 79085337066 118628005599 149383414458 224075121687 237256011198 355884016797 448150243374 672225365061 711768033594 1344450730122 2016676095183 4033352190366 6050028285549 12100056571098