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100510214302120 = 23578633391122663
BaseRepresentation
bin10110110110100111011011…
…100111101010100110101000
3111011212200102122112112220011
4112312213123213222212220
5101133224404330131440
6553433431025541304
730112423544146240
oct2666473347524650
9434780378475804
10100510214302120
112a03116274aa77
12b3336774a4834
1344110c34a526c
141ab6a12820b20
15b9477bee29ea
hex5b69db9ea9a8

100510214302120 has 128 divisors (see below), whose sum is σ = 258832737239040. Its totient is φ = 34410282543360.

The previous prime is 100510214302103. The next prime is 100510214302139. The reversal of 100510214302120 is 21203412015001.

It is a junction number, because it is equal to n+sod(n) for n = 100510214302091 and 100510214302100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819339909 + ... + 819462571.

It is an arithmetic number, because the mean of its divisors is an integer number (2022130759680).

Almost surely, 2100510214302120 is an apocalyptic number.

100510214302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100510214302120 is an abundant number, since it is smaller than the sum of its proper divisors (158322522936920).

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

100510214302120 is a wasteful number, since it uses less digits than its factorization.

100510214302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126935 (or 126931 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 100510214302120 its reverse (21203412015001), we get a palindrome (121713626317121).

The spelling of 100510214302120 in words is "one hundred trillion, five hundred ten billion, two hundred fourteen million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 863 1726 3391 3452 4315 6041 6782 6904 8630 12082 13564 16955 17260 23737 24164 27128 30205 33910 34520 47474 48328 60410 67820 94948 118685 120820 122663 135640 189896 237370 241640 245326 474740 490652 613315 858641 949480 981304 1226630 1717282 2453260 2926433 3434564 4293205 4906520 5852866 6869128 8586410 11705732 14632165 17172820 20485031 23411464 29264330 34345640 40970062 58528660 81940124 102425155 105858169 117057320 163880248 204850310 211716338 409700620 415950233 423432676 529290845 741007183 819401240 831900466 846865352 1058581690 1482014366 1663800932 2079751165 2117163380 2911651631 2964028732 3327601864 3705035915 4159502330 4234326760 5823303262 5928057464 7410071830 8319004660 11646606524 14558258155 14820143660 16638009320 23293213048 29116516310 29640287320 58233032620 116466065240 358965051079 717930102158 1435860204316 1794825255395 2512755357553 2871720408632 3589650510790 5025510715106 7179301021580 10051021430212 12563776787765 14358602043160 20102042860424 25127553575530 50255107151060 100510214302120