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313231131332 = 227247237114341
BaseRepresentation
bin1001000111011100000…
…01111100001011000100
31002221111121122010210022
410203232001330023010
520112444132200312
6355521342114312
731426105454300
oct4435601741304
91087447563708
10313231131332
11110927898089
125085857b998
13236cb0677c2
1411236474d00
158234069172
hex48ee07c2c4

313231131332 has 72 divisors (see below), whose sum is σ = 651536178048. Its totient is φ = 131321131200.

The previous prime is 313231131329. The next prime is 313231131349. The reversal of 313231131332 is 233131132313.

It is a super-2 number, since 2×3132311313322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21834482 + ... + 21848822.

It is an arithmetic number, because the mean of its divisors is an integer number (9049113584).

Almost surely, 2313231131332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313231131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325768089024).

313231131332 is an abundant number, since it is smaller than the sum of its proper divisors (338305046716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313231131332 is a wasteful number, since it uses less digits than its factorization.

313231131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16777 (or 16768 counting only the distinct ones).

The product of its digits is 2916, while the sum is 26.

Adding to 313231131332 its reverse (233131132313), we get a palindrome (546362263645).

The spelling of 313231131332 in words is "three hundred thirteen billion, two hundred thirty-one million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1316 2303 2371 4606 4742 9212 9484 14341 16597 28682 33194 57364 66388 100387 111437 116179 200774 222874 232358 401548 445748 464716 674027 702709 780059 1348054 1405418 1560118 2696108 2810836 3120236 4718189 5460413 9436378 10920826 18872756 21841652 33027323 34002511 66054646 68005022 132109292 136010044 238017577 476035154 952070308 1598118017 1666123039 3196236034 3332246078 6392472068 6664492156 11186826119 22373652238 44747304476 78307782833 156615565666 313231131332