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10125634262260 = 22511401114777083
BaseRepresentation
bin1001001101011000111011…
…0101010101010011110100
31022212000000212021001010211
42103112032311111103310
52311344244332343020
633311352511155204
72063360441063266
oct223261665252364
938760025231124
1010125634262260
113254291625830
1211764ba515b04
13585ac670508a
1427012487bb36
151285ce88985a
hex9358ed554f4

10125634262260 has 48 divisors (see below), whose sum is σ = 23254755435072. Its totient is φ = 3672866624000.

The previous prime is 10125634262203. The next prime is 10125634262267. The reversal of 10125634262260 is 6226243652101.

It is a happy number.

It is a super-2 number, since 2×101256342622602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125634262267) by changing a digit.

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, 57300322 + ... + 57476761.

It is an arithmetic number, because the mean of its divisors is an integer number (484474071564).

Almost surely, 210125634262260 is an apocalyptic number.

10125634262260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10125634262260 is an abundant number, since it is smaller than the sum of its proper divisors (13129121172812).

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

10125634262260 is a wasteful number, since it uses less digits than its factorization.

10125634262260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114777504 (or 114777502 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 10125634262260 in words is "ten trillion, one hundred twenty-five billion, six hundred thirty-four million, two hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 401 802 1604 2005 4010 4411 8020 8822 17644 22055 44110 88220 114777083 229554166 459108332 573885415 1147770830 1262547913 2295541660 2525095826 5050191652 6312739565 12625479130 25250958260 46025610283 92051220566 184102441132 230128051415 460256102830 506281713113 920512205660 1012563426226 2025126852452 2531408565565 5062817131130 10125634262260