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313233133231320 = 233517677914765759
BaseRepresentation
bin100011100111000100100010…
…1101000110101110011011000
31112002001210110121202100100120
41013032021011220311303120
5312024002424101400240
63030105152003033240
7122656230021146511
oct10716110550656330
91462053417670316
10313233133231320
1190895475813515
122b16a81a66b820
13105a19b0936203
14574c7c9151a08
152632da51a3ad0
hex11ce245a35cd8

313233133231320 has 64 divisors (see below), whose sum is σ = 939704779008000. Its totient is φ = 83528357367168.

The previous prime is 313233133231301. The next prime is 313233133231331. The reversal of 313233133231320 is 23132331332313.

It is a super-2 number, since 2×3132331332313202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 13830601 + ... + 28596359.

It is an arithmetic number, because the mean of its divisors is an integer number (14682887172000).

Almost surely, 2313233133231320 is an apocalyptic number.

313233133231320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313233133231320 is an abundant number, since it is smaller than the sum of its proper divisors (626471645776680).

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

313233133231320 is a wasteful number, since it uses less digits than its factorization.

313233133231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14942552 (or 14942548 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 33.

Adding to 313233133231320 its reverse (23132331332313), we get a palindrome (336365464563633).

The spelling of 313233133231320 in words is "three hundred thirteen trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 176779 353558 530337 707116 883895 1060674 1414232 1767790 2121348 2651685 3535580 4242696 5303370 7071160 10606740 14765759 21213480 29531518 44297277 59063036 73828795 88594554 118126072 147657590 177189108 221486385 295315180 354378216 442972770 590630360 885945540 1771891080 2610276110261 5220552220522 7830828330783 10441104441044 13051380551305 15661656661566 20882208882088 26102761102610 31323313323132 39154141653915 52205522205220 62646626646264 78308283307830 104411044410440 156616566615660 313233133231320