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10145313140 = 225598597723
BaseRepresentation
bin10010111001011010…
…10011000101110100
3222012001012022021112
421130231103011310
5131234200010030
64354413134152
7506260511264
oct113455230564
928161168245
1010145313140
114336845a16
121b7178a358
13c58b37c91
146c358b7a4
153e5a13a95
hex25cb53174

10145313140 has 24 divisors (see below), whose sum is σ = 21666264480. Its totient is φ = 3989343008.

The previous prime is 10145313137. The next prime is 10145313173. The reversal of 10145313140 is 4131354101.

It is a happy number.

10145313140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 4297682 + ... + 4300041.

It is an arithmetic number, because the mean of its divisors is an integer number (902761020).

Almost surely, 210145313140 is an apocalyptic number.

10145313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145313140 is an abundant number, since it is smaller than the sum of its proper divisors (11520951340).

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

10145313140 is a wasteful number, since it uses less digits than its factorization.

10145313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597791 (or 8597789 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10145313140 its reverse (4131354101), we get a palindrome (14276667241).

The spelling of 10145313140 in words is "ten billion, one hundred forty-five million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 59 118 236 295 590 1180 8597723 17195446 34390892 42988615 85977230 171954460 507265657 1014531314 2029062628 2536328285 5072656570 10145313140