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10231120400 = 245225577801
BaseRepresentation
bin10011000011101001…
…01000001000010000
3222102000122202201012
421201310220020100
5131423131323100
64411120230052
7511352042234
oct114164501020
928360582635
1010231120400
114380223206
121b9646b328
13c7084c6c7
146d0b265c4
153ed313135
hex261d28210

10231120400 has 30 divisors (see below), whose sum is σ = 24580267722. Its totient is φ = 4092448000.

The previous prime is 10231120373. The next prime is 10231120409. The reversal of 10231120400 is 402113201.

It can be written as a sum of positive squares in 3 ways, for example, as 2788262416 + 7442857984 = 52804^2 + 86272^2 .

It is not an unprimeable number, because it can be changed into a prime (10231120409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12788501 + ... + 12789300.

Almost surely, 210231120400 is an apocalyptic number.

10231120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10231120400 is an abundant number, since it is smaller than the sum of its proper divisors (14349147322).

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

10231120400 is a wasteful number, since it uses less digits than its factorization.

10231120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25577819 (or 25577808 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10231120400 its reverse (402113201), we get a palindrome (10633233601).

The spelling of 10231120400 in words is "ten billion, two hundred thirty-one million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25577801 51155602 102311204 127889005 204622408 255778010 409244816 511556020 639445025 1023112040 1278890050 2046224080 2557780100 5115560200 10231120400