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100946030332044 = 22326364494959751
BaseRepresentation
bin10110111100111101010100…
…010001111000100010001100
3111020102100100102021202102210
4112330331110101320202030
5101212344432231111134
6554405544403550420
730156052510242462
oct2674752421704214
9436370312252383
10100946030332044
112a189a755127a7
12b3a402538b410
134443229110501
141acdb5762c832
15ba0c87e0d2e9
hex5bcf5447888c

100946030332044 has 48 divisors (see below), whose sum is σ = 236473039756800. Its totient is φ = 33515530464000.

The previous prime is 100946030332031. The next prime is 100946030332073. The reversal of 100946030332044 is 440233030649001.

It is a junction number, because it is equal to n+sod(n) for n = 100946030331993 and 100946030332011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17873169 + ... + 22832919.

It is an arithmetic number, because the mean of its divisors is an integer number (4926521661600).

Almost surely, 2100946030332044 is an apocalyptic number.

It is an amenable number.

100946030332044 is an abundant number, since it is smaller than the sum of its proper divisors (135527009424756).

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

100946030332044 is a wasteful number, since it uses less digits than its factorization.

100946030332044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966470 (or 4966468 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 100946030332044 in words is "one hundred trillion, nine hundred forty-six billion, thirty million, three hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 12 263 526 789 1052 1578 3156 6449 12898 19347 25796 38694 77388 1696087 3392174 4959751 5088261 6784348 9919502 10176522 14879253 19839004 20353044 29758506 59517012 1304414513 2608829026 3913243539 5217658052 7826487078 15652974156 31985434199 63970868398 95956302597 127941736796 191912605194 383825210388 8412169194337 16824338388674 25236507583011 33648676777348 50473015166022 100946030332044