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10145640121 = 193799711451
BaseRepresentation
bin10010111001011101…
…00010111010111001
3222012001210220210221
421130232202322321
5131234240440441
64354424140041
7506263342501
oct113456427271
928161726727
1010145640121
114336a49651
121b71907621
13c58c20a66
146c3634a01
153e5a7a8d1
hex25cba2eb9

10145640121 has 16 divisors (see below), whose sum is σ = 10726214400. Its totient is φ = 9569826000.

The previous prime is 10145640077. The next prime is 10145640149. The reversal of 10145640121 is 12104654101.

It is a cyclic number.

It is not a de Polignac number, because 10145640121 - 27 = 10145639993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10145640151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6991446 + ... + 6992896.

It is an arithmetic number, because the mean of its divisors is an integer number (670388400).

Almost surely, 210145640121 is an apocalyptic number.

It is an amenable number.

10145640121 is a deficient number, since it is larger than the sum of its proper divisors (580574279).

10145640121 is a wasteful number, since it uses less digits than its factorization.

10145640121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820.

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 10145640121 in words is "ten billion, one hundred forty-five million, six hundred forty thousand, one hundred twenty-one".

Divisors: 1 19 379 971 1451 7201 18449 27569 368009 549929 1408921 6992171 10448651 26769499 533981059 10145640121