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10332340131 = 359337173219
BaseRepresentation
bin10011001111101101…
…01111111110100011
3222200002010021002010
421213312233332203
5132130034341011
64425133524003
7514021304421
oct114766577643
928602107063
1010332340131
114422378083
122004343603
13c887cc439
14700354111
154071591a6
hex267daffa3

10332340131 has 16 divisors (see below), whose sum is σ = 14051606400. Its totient is φ = 6751344768.

The previous prime is 10332340111. The next prime is 10332340147. The reversal of 10332340131 is 13104323301.

It is not a de Polignac number, because 10332340131 - 210 = 10332339107 is a prime.

It is a super-2 number, since 2×103323401312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10332340098 and 10332340107.

It is not an unprimeable number, because it can be changed into a prime (10332340111) 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 15 ways as a sum of consecutive naturals, for example, 26961 + ... + 146258.

It is an arithmetic number, because the mean of its divisors is an integer number (878225400).

Almost surely, 210332340131 is an apocalyptic number.

10332340131 is a deficient number, since it is larger than the sum of its proper divisors (3719266269).

10332340131 is a wasteful number, since it uses less digits than its factorization.

10332340131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173618.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10332340131 its reverse (13104323301), we get a palindrome (23436663432).

The spelling of 10332340131 in words is "ten billion, three hundred thirty-two million, three hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 59 177 337 1011 19883 59649 173219 519657 10219921 30659763 58374803 175124409 3444113377 10332340131