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10145312721 = 331153325891
BaseRepresentation
bin10010111001011010…
…10010111111010001
3222012001012021201000
421130231102333101
5131234200001341
64354413132213
7506260510125
oct113455227721
928161167630
1010145312721
114336845675
121b7178a069
13c58b37a2b
146c358b585
153e5a138b6
hex25cb52fd1

10145312721 has 16 divisors (see below), whose sum is σ = 15043174720. Its totient is φ = 6757655040.

The previous prime is 10145312693. The next prime is 10145312747. The reversal of 10145312721 is 12721354101.

10145312721 is a `hidden beast` number, since 101 + 4 + 531 + 2 + 7 + 21 = 666.

It is not a de Polignac number, because 10145312721 - 29 = 10145312209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10145312621) 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, 131815 + ... + 194076.

It is an arithmetic number, because the mean of its divisors is an integer number (940198420).

Almost surely, 210145312721 is an apocalyptic number.

It is an amenable number.

10145312721 is a deficient number, since it is larger than the sum of its proper divisors (4897861999).

10145312721 is a wasteful number, since it uses less digits than its factorization.

10145312721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327053 (or 327047 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10145312721 its reverse (12721354101), we get a palindrome (22866666822).

The spelling of 10145312721 in words is "ten billion, one hundred forty-five million, three hundred twelve thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 1153 3459 10377 31131 325891 977673 2933019 8799057 375752323 1127256969 3381770907 10145312721