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100421745858198 = 23359131367165543
BaseRepresentation
bin10110110101010101000010…
…011111010101011010010110
3111011120020002010112221202000
4112311111002133111122112
5101130302213414430243
6553325040240100130
730103142322606612
oct2665250237253226
9434506063487660
10100421745858198
1129aa7694602706
12b31a4a7604646
134405964a735ab
141ab261d0bc342
15b923003455d3
hex5b55427d5696

100421745858198 has 128 divisors (see below), whose sum is σ = 228739960627200. Its totient is φ = 32645972080800.

The previous prime is 100421745858197. The next prime is 100421745858199. The reversal of 100421745858198 is 891858547124001.

100421745858198 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 1 + 7 + 45 + 8 + 581 + 9 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (100421745858197) and next prime (100421745858199).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100421745858197) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1532117815 + ... + 1532183357.

It is an arithmetic number, because the mean of its divisors is an integer number (1787030942400).

Almost surely, 2100421745858198 is an apocalyptic number.

100421745858198 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 100421745858198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114369980313600).

100421745858198 is an abundant number, since it is smaller than the sum of its proper divisors (128318214769002).

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

100421745858198 is a wasteful number, since it uses less digits than its factorization.

100421745858198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69415 (or 69409 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 100421745858198 in words is "one hundred trillion, four hundred twenty-one billion, seven hundred forty-five million, eight hundred fifty-eight thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 59 118 131 177 262 354 393 531 786 1062 1179 1593 2358 3186 3537 3671 7074 7342 7729 11013 15458 22026 23187 33039 46374 65543 66078 69561 99117 131086 139122 196629 198234 208683 216589 393258 417366 433178 480901 589887 649767 961802 1179774 1299534 1442703 1769661 1949301 2885406 3539322 3867037 3898602 4328109 5847903 7734074 8586133 8656218 11601111 11695806 12984327 17172266 23202222 25758399 25968654 28373159 34803333 51516798 56746318 69606666 77275197 85119477 104409999 154550394 170238954 208819998 231825591 240608353 255358431 463651182 481216706 506581847 510716862 721825059 766075293 1013163694 1443650118 1519745541 1532150586 2165475177 3039491082 4330950354 4559236623 6496425531 9118473246 12992851062 13677709869 14195892827 27355419738 28391785654 31519694243 42587678481 63039388486 85175356962 94559082729 127763035443 189118165458 255526070886 283677248187 383289106329 567354496374 766578212658 851031744561 1702063489122 1859661960337 3719323920674 5578985881011 11157971762022 16736957643033 33473915286066 50210872929099 100421745858198