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10145332071 = 327718532659
BaseRepresentation
bin10010111001011010…
…10111101101100111
3222012001020021020200
421130231113231213
5131234201111241
64354413401543
7506260620420
oct113455275547
928161207220
1010145332071
114336859166
121b717992b3
13c58b43794
146c3594647
153e5a194b6
hex25cb57b67

10145332071 has 48 divisors (see below), whose sum is σ = 17010040320. Its totient is φ = 5706832320.

The previous prime is 10145332013. The next prime is 10145332081. The reversal of 10145332071 is 17023354101.

10145332071 is a `hidden beast` number, since 1 + 0 + 1 + 453 + 3 + 207 + 1 = 666.

It is not a de Polignac number, because 10145332071 - 27 = 10145331943 is a prime.

It is a super-2 number, since 2×101453320712 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145332081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3814140 + ... + 3816798.

It is an arithmetic number, because the mean of its divisors is an integer number (354375840).

Almost surely, 210145332071 is an apocalyptic number.

10145332071 is a deficient number, since it is larger than the sum of its proper divisors (6864708249).

10145332071 is a wasteful number, since it uses less digits than its factorization.

10145332071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10145332071 its reverse (17023354101), we get a palindrome (27168686172).

The spelling of 10145332071 in words is "ten billion, one hundred forty-five million, three hundred thirty-two thousand, seventy-one".

Divisors: 1 3 7 9 21 63 71 213 497 639 853 1491 2559 2659 4473 5971 7677 7977 17913 18613 23931 53739 55839 60563 167517 181689 188789 423941 545067 566367 1271823 1321523 1699101 2268127 3815469 3964569 6804381 11893707 15876889 20413143 47630667 142892001 161037017 483111051 1127259119 1449333153 3381777357 10145332071