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101323403323131 = 31143307232588907
BaseRepresentation
bin10111000010011100110001…
…011101100110011011111011
3111021202102102012010222102110
4113002130301131212123323
5101240040312222320011
6555255155012503403
730225242250605463
oct2702346135463373
9437672365128373
10101323403323131
112a315017753430
12b4451a291ab63
13446c9a9a35582
141b04116676ba3
15baa9c3122ba6
hex5c27317666fb

101323403323131 has 32 divisors (see below), whose sum is σ = 151298154298368. Its totient is φ = 59784652398240.

The previous prime is 101323403323127. The next prime is 101323403323133. The reversal of 101323403323131 is 131323304323101.

It is a happy number.

It is not a de Polignac number, because 101323403323131 - 22 = 101323403323127 is a prime.

It is a super-2 number, since 2×1013234033231312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101323403323133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115858821 + ... + 116730086.

It is an arithmetic number, because the mean of its divisors is an integer number (4728067321824).

Almost surely, 2101323403323131 is an apocalyptic number.

101323403323131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101323403323131 is a deficient number, since it is larger than the sum of its proper divisors (49974750975237).

101323403323131 is a wasteful number, since it uses less digits than its factorization.

101323403323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232589271.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 101323403323131 its reverse (131323304323101), we get a palindrome (232646707646232).

The spelling of 101323403323131 in words is "one hundred one trillion, three hundred twenty-three billion, four hundred three million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 33 43 129 307 473 921 1419 3377 10131 13201 39603 145211 435633 232588907 697766721 2558477977 7675433931 10001323001 30003969003 71404794449 110014553011 214214383347 330043659033 785452738939 2356358216817 3070406161307 9211218483921 33774467774377 101323403323131