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10032315153 = 37191011731439
BaseRepresentation
bin10010101011111100…
…01111101100010001
3221220011120102011220
421111332033230101
5131021233041103
64335255155253
7503416162140
oct112576175421
927804512156
1010032315153
114288a86953
121b3b975b29
13c3b5c3173
146b2575757
153dab42c53
hex255f8fb11

10032315153 has 64 divisors (see below), whose sum is σ = 16356556800. Its totient is φ = 5342457600.

The previous prime is 10032315151. The next prime is 10032315169. The reversal of 10032315153 is 35151323001.

It is not a de Polignac number, because 10032315153 - 21 = 10032315151 is a prime.

It is a super-2 number, since 2×100323151532 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10032315151) 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 63 ways as a sum of consecutive naturals, for example, 6971008 + ... + 6972446.

It is an arithmetic number, because the mean of its divisors is an integer number (255571200).

Almost surely, 210032315153 is an apocalyptic number.

It is an amenable number.

10032315153 is a deficient number, since it is larger than the sum of its proper divisors (6324241647).

10032315153 is a wasteful number, since it uses less digits than its factorization.

10032315153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742.

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 10032315153 its reverse (35151323001), we get a palindrome (45183638154).

The spelling of 10032315153 in words is "ten billion, thirty-two million, three hundred fifteen thousand, one hundred fifty-three".

Divisors: 1 3 7 19 21 57 101 133 173 303 399 519 707 1211 1439 1919 2121 3287 3633 4317 5757 9861 10073 13433 17473 23009 27341 30219 40299 52419 69027 82023 122311 145339 191387 248947 331987 366933 436017 574161 746841 995961 1017373 1742629 2323909 2761441 3052119 4729993 5227887 6971727 8284323 14189979 19330087 25143647 33109951 57990261 75430941 99329853 176005529 477729293 528016587 1433187879 3344105051 10032315153