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10134304032 = 253105565667
BaseRepresentation
bin10010111000000110…
…10011010100100000
3222011021110222121210
421130003103110200
5131223340212112
64353341150120
7506065106616
oct113403232440
928137428553
1010134304032
114330606686
121b69b5b340
13c56782008
146c1d236b6
153e4a8bb3c
hex25c0d3520

10134304032 has 24 divisors (see below), whose sum is σ = 26602548336. Its totient is φ = 3378101312.

The previous prime is 10134304021. The next prime is 10134304039. The reversal of 10134304032 is 23040343101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×101343040322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10134304039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52782738 + ... + 52782929.

It is an arithmetic number, because the mean of its divisors is an integer number (1108439514).

Almost surely, 210134304032 is an apocalyptic number.

10134304032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10134304032 is an abundant number, since it is smaller than the sum of its proper divisors (16468244304).

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

10134304032 is a wasteful number, since it uses less digits than its factorization.

10134304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105565680 (or 105565672 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10134304032 its reverse (23040343101), we get a palindrome (33174647133).

The spelling of 10134304032 in words is "ten billion, one hundred thirty-four million, three hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105565667 211131334 316697001 422262668 633394002 844525336 1266788004 1689050672 2533576008 3378101344 5067152016 10134304032