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10130322100 = 22521719872999
BaseRepresentation
bin10010110111101000…
…00111001010110100
3222010222222200102211
421123310013022310
5131221330301400
64353115543204
7506016213523
oct113364071264
928128880384
1010130322100
114329336a28
121b6875ab04
13c559b9742
146c15a84ba
153e4551dba
hex25bd072b4

10130322100 has 72 divisors (see below), whose sum is σ = 23295384000. Its totient is φ = 3810577920.

The previous prime is 10130322077. The next prime is 10130322149. The reversal of 10130322100 is 122303101.

10130322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3376401 + ... + 3379399.

It is an arithmetic number, because the mean of its divisors is an integer number (323547000).

Almost surely, 210130322100 is an apocalyptic number.

10130322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11647692000).

10130322100 is an abundant number, since it is smaller than the sum of its proper divisors (13165061900).

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

10130322100 is a wasteful number, since it uses less digits than its factorization.

10130322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10130322100 its reverse (122303101), we get a palindrome (10252625201).

The spelling of 10130322100 in words is "ten billion, one hundred thirty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1987 2999 3974 5998 7948 9935 11996 14995 19870 29990 33779 39740 49675 50983 59980 67558 74975 99350 101966 135116 149950 168895 198700 203932 254915 299900 337790 509830 675580 844475 1019660 1274575 1688950 2549150 3377900 5098300 5959013 11918026 23836052 29795065 59590130 101303221 119180260 148975325 202606442 297950650 405212884 506516105 595901300 1013032210 2026064420 2532580525 5065161050 10130322100