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313132001023201 = 173110939041139627
BaseRepresentation
bin100011100110010101011100…
…1101100000101010011100001
31112001201010102112122212112211
41013030222321230011103201
5312020323314230220301
63025550504432522121
7122646016615441633
oct10714527154052341
91461633375585484
10313132001023201
1190856599274728
122b1530b56b0341
13105952b46a9a49
1457479539aaa53
152630436870051
hex11ccab9b054e1

313132001023201 has 32 divisors (see below), whose sum is σ = 345397939983360. Its totient is φ = 282579790233600.

The previous prime is 313132001023187. The next prime is 313132001023211. The reversal of 313132001023201 is 102320100231313.

It is a cyclic number.

It is not a de Polignac number, because 313132001023201 - 25 = 313132001023169 is a prime.

It is a super-2 number, since 2×3131320010232012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313132001023211) 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, 2242562350 + ... + 2242701976.

It is an arithmetic number, because the mean of its divisors is an integer number (10793685624480).

Almost surely, 2313132001023201 is an apocalyptic number.

313132001023201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313132001023201 is a deficient number, since it is larger than the sum of its proper divisors (32265938960159).

313132001023201 is a wasteful number, since it uses less digits than its factorization.

313132001023201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178825.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 313132001023201 its reverse (102320100231313), we get a palindrome (415452101254514).

The spelling of 313132001023201 in words is "three hundred thirteen trillion, one hundred thirty-two billion, one million, twenty-three thousand, two hundred one".

Divisors: 1 17 31 109 527 1853 3379 39041 57443 139627 663697 1210271 2373659 4255469 4328437 15219343 20574607 72342973 73583429 131919539 258728831 471799633 2242632163 5451177707 8020593761 92670021019 168986508917 594178370063 2872770651589 10101032291071 18419529471953 313132001023201