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102100131200 = 275231906291
BaseRepresentation
bin101111100010110100…
…1000101110110000000
3100202112112102001122202
41133011221011312000
53133100113144300
6114523144052332
710243064536664
oct1370551056600
9322475361582
10102100131200
113a333953821
12179551640a8
139821945222
144d27d428a4
1529c87caad5
hex17c5a45d80

102100131200 has 48 divisors (see below), whose sum is σ = 252219238260. Its totient is φ = 40840051200.

The previous prime is 102100131169. The next prime is 102100131209. The reversal of 102100131200 is 2131001201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100131209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15949946 + ... + 15956345.

Almost surely, 2102100131200 is an apocalyptic number.

102100131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100131200 is an abundant number, since it is smaller than the sum of its proper divisors (150119107060).

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

102100131200 is an equidigital number, since it uses as much as digits as its factorization.

102100131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31906315 (or 31906298 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102100131200 its reverse (2131001201), we get a palindrome (104231132401).

The spelling of 102100131200 in words is "one hundred two billion, one hundred million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 31906291 63812582 127625164 159531455 255250328 319062910 510500656 638125820 797657275 1021001312 1276251640 1595314550 2042002624 2552503280 3190629100 4084005248 5105006560 6381258200 10210013120 12762516400 20420026240 25525032800 51050065600 102100131200