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332113531602131 = 173130611125718289
BaseRepresentation
bin100101110000011100011010…
…1000100111000010011010011
31121112220202002001020011001022
41023200320311010320103103
5322012322003042232011
63134202503344430055
7126645260626315046
oct11340706504702323
91545822061204038
10332113531602131
1196904615453414
12312b99b191832b
1311341230157c16
145c025488bcc5d
15285e07d7ad8db
hex12e0e351384d3

332113531602131 has 32 divisors (see below), whose sum is σ = 363163856739840. Its totient is φ = 302352080486400.

The previous prime is 332113531602121. The next prime is 332113531602137. The reversal of 332113531602131 is 131206135311233.

It is a de Polignac number, because none of the positive numbers 2k-332113531602131 is a prime.

It is a super-2 number, since 2×3321135316021312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332113531602091 and 332113531602100.

It is not an unprimeable number, because it can be changed into a prime (332113531602137) 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, 18159186635 + ... + 18159204923.

It is an arithmetic number, because the mean of its divisors is an integer number (11348870523120).

Almost surely, 2332113531602131 is an apocalyptic number.

332113531602131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

332113531602131 is a deficient number, since it is larger than the sum of its proper divisors (31050325137709).

332113531602131 is a wasteful number, since it uses less digits than its factorization.

332113531602131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32655.

The product of its (nonzero) digits is 29160, while the sum is 35.

Adding to 332113531602131 its reverse (131206135311233), we get a palindrome (463319666913364).

The spelling of 332113531602131 in words is "three hundred thirty-two trillion, one hundred thirteen billion, five hundred thirty-one million, six hundred two thousand, one hundred thirty-one".

Divisors: 1 17 31 527 3061 11257 18289 52037 94891 191369 310913 348967 566959 1613147 5932439 9638303 34457677 55982629 205879273 585780509 951704693 1068187987 1735461499 3499947641 6382257463 18159195779 29502845483 108498376871 630196454653 10713339729101 19536090094243 332113531602131