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10041023104 = 27729386431
BaseRepresentation
bin10010101100111110…
…11101101010000000
3221220202221211020121
421112133131222000
5131031000214404
64340205550024
7503553200560
oct112637355200
927822854217
1010041023104
114292994302
121b42875314
13c403518b8
146b37a0da0
153db7b2e54
hex2567dda80

10041023104 has 64 divisors (see below), whose sum is σ = 23649638400. Its totient is φ = 4154895360.

The previous prime is 10041023093. The next prime is 10041023141. The reversal of 10041023104 is 40132014001.

10041023104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 167232 + ... + 219199.

It is an arithmetic number, because the mean of its divisors is an integer number (369525600).

Almost surely, 210041023104 is an apocalyptic number.

10041023104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10041023104 is an abundant number, since it is smaller than the sum of its proper divisors (13608615296).

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

10041023104 is an equidigital number, since it uses as much as digits as its factorization.

10041023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386481 (or 386469 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10041023104 its reverse (40132014001), we get a palindrome (50173037105).

The spelling of 10041023104 in words is "ten billion, forty-one million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 6496 12992 25984 386431 772862 1545724 2705017 3091448 5410034 6182896 10820068 11206499 12365792 21640136 22412998 24731584 43280272 44825996 49463168 78445493 86560544 89651992 156890986 173121088 179303984 313781972 346242176 358607968 627563944 717215936 1255127888 1434431872 2510255776 5020511552 10041023104