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10145500601 = 178310171191
BaseRepresentation
bin10010111001011100…
…00000110110111001
3222012001112211102112
421130232000312321
5131234222004401
64354421142105
7506262221645
oct113456006671
928161484375
1010145500601
114336963845
121b7185a935
13c58ba23c2
146c35d9c25
153e5a4e3bb
hex25cb80db9

10145500601 has 16 divisors (see below), whose sum is σ = 10979515008. Its totient is φ = 9340128000.

The previous prime is 10145500597. The next prime is 10145500627. The reversal of 10145500601 is 10600554101.

10145500601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10145500601 - 22 = 10145500597 is a prime.

It is a super-3 number, since 3×101455006013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10145500681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106916 + ... + 178106.

It is an arithmetic number, because the mean of its divisors is an integer number (686219688).

Almost surely, 210145500601 is an apocalyptic number.

It is an amenable number.

10145500601 is a deficient number, since it is larger than the sum of its proper divisors (834014407).

10145500601 is a wasteful number, since it uses less digits than its factorization.

10145500601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71392.

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 10145500601 in words is "ten billion, one hundred forty-five million, five hundred thousand, six hundred one".

Divisors: 1 17 83 101 1411 1717 8383 71191 142511 1210247 5908853 7190291 100450501 122234947 596794153 10145500601