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12152802831 = 31347591031091
BaseRepresentation
bin10110101000101110…
…10000111000001111
31011100221122100102120
423110113100320033
5144342104142311
65325524424023
7610105056021
oct132427207017
934327570376
1012152802831
115176a38704
122431b48013
1311b8a053c0
14834036011
154b1da5706
hex2d45d0e0f

12152802831 has 64 divisors (see below), whose sum is σ = 18316247040. Its totient is φ = 7119077760.

The previous prime is 12152802811. The next prime is 12152802833. The reversal of 12152802831 is 13820825121.

12152802831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12152802831 - 25 = 12152802799 is a prime.

It is a super-2 number, since 2×121528028312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12152802792 and 12152802801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12152802833) 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 63 ways as a sum of consecutive naturals, for example, 11138596 + ... + 11139686.

It is an arithmetic number, because the mean of its divisors is an integer number (286191360).

Almost surely, 212152802831 is an apocalyptic number.

12152802831 is a deficient number, since it is larger than the sum of its proper divisors (6163444209).

12152802831 is a wasteful number, since it uses less digits than its factorization.

12152802831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316.

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 12152802831 in words is "twelve billion, one hundred fifty-two million, eight hundred two thousand, eight hundred thirty-one".

Divisors: 1 3 13 39 47 59 103 141 177 309 611 767 1091 1339 1833 2301 2773 3273 4017 4841 6077 8319 14183 14523 18231 36049 42549 51277 62933 64369 79001 108147 112373 153831 188799 193107 237003 285619 337119 666601 836797 856857 1460849 1999803 2510391 3025343 3713047 4382547 5281531 6630007 9076029 11139141 15844593 19890021 39329459 68659903 86190091 117988377 205979709 258570273 311610329 934830987 4050934277 12152802831