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100661624385231 = 37131914447434111
BaseRepresentation
bin10110111000110100011100…
…010111010010111011001111
3111012102011020200022201011010
4112320310130113102323033
5101143220001320311411
6554031151205300303
730126363614500050
oct2670643427227317
9435364220281133
10100661624385231
112a08a39a7a4468
12b358a92404693
134422472c23810
141ac009758a727
15b9868e7a97a6
hex5b8d1c5d2ecf

100661624385231 has 64 divisors (see below), whose sum is σ = 166090890018816. Its totient is φ = 52806251721600.

The previous prime is 100661624385221. The next prime is 100661624385239. The reversal of 100661624385231 is 132583426166001.

It is not a de Polignac number, because 100661624385231 - 234 = 100644444516047 is a prime.

It is a super-2 number, since 2×1006616243852312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100661624385239) 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, 231662866 + ... + 232096976.

It is an arithmetic number, because the mean of its divisors is an integer number (2595170156544).

Almost surely, 2100661624385231 is an apocalyptic number.

100661624385231 is a deficient number, since it is larger than the sum of its proper divisors (65429265633585).

100661624385231 is a wasteful number, since it uses less digits than its factorization.

100661624385231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438772.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 100661624385231 in words is "one hundred trillion, six hundred sixty-one billion, six hundred twenty-four million, three hundred eighty-five thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 191 273 573 1337 2483 4011 4447 7449 13341 17381 31129 52143 57811 93387 173433 404677 434111 849377 1214031 1302333 2548131 3038777 5643443 5945639 9116331 11041901 16930329 17836917 33125703 39504101 77293307 82915201 118512303 231879921 248745603 580406407 1077897613 1741219221 1930491617 3233692839 5791474851 7545283291 13513441319 22635849873 25096391021 40540323957 75289173063 175674737147 368723898847 527024211441 1106171696541 2581067291929 4793410685011 7743201875787 14380232055033 33553874795077 100661624385231