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102311131533 = 31331748716993
BaseRepresentation
bin101111101001000110…
…1111111100110001101
3100210002020102222200220
41133102031333212031
53134013122202113
6115000122341553
710251236161212
oct1372215774615
9323066388626
10102311131533
113a431a6a466
12179b395a8b9
1398565814b0
144d47d89b09
1529dc0a9523
hex17d237f98d

102311131533 has 32 divisors (see below), whose sum is σ = 147683026176. Its totient is φ = 62629521408.

The previous prime is 102311131519. The next prime is 102311131567. The reversal of 102311131533 is 335131113201.

It is a happy number.

It is not a de Polignac number, because 102311131533 - 217 = 102311000461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102311131583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6012285 + ... + 6029277.

It is an arithmetic number, because the mean of its divisors is an integer number (4615094568).

Almost surely, 2102311131533 is an apocalyptic number.

102311131533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102311131533 is a deficient number, since it is larger than the sum of its proper divisors (45371894643).

102311131533 is a wasteful number, since it uses less digits than its factorization.

102311131533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17813.

The product of its (nonzero) digits is 810, while the sum is 24.

Adding to 102311131533 its reverse (335131113201), we get a palindrome (437442244734).

The spelling of 102311131533 in words is "one hundred two billion, three hundred eleven million, one hundred thirty-one thousand, five hundred thirty-three".

Divisors: 1 3 13 39 317 487 951 1461 4121 6331 12363 16993 18993 50979 154379 220909 463137 662727 2006927 5386781 6020781 8275591 16160343 24826773 70028153 107582683 210084459 322748049 2623362347 7870087041 34103710511 102311131533