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1021313031012 = 223510271102301
BaseRepresentation
bin11101101110010110000…
…00000001101101100100
310121122012001122120200000
432313023000001231210
5113213122113443022
62101103522421300
7133534042345461
oct16671300015544
93548161576600
101021313031012
1136415564260a
12145b2b801830
13754039c17b1
1437608c82668
151b8778e86ac
hexedcb001b64

1021313031012 has 72 divisors (see below), whose sum is σ = 2677555974912. Its totient is φ = 340401204000.

The previous prime is 1021313031001. The next prime is 1021313031019. The reversal of 1021313031012 is 2101303131201.

1021313031012 is a `hidden beast` number, since 1 + 0 + 213 + 130 + 310 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1021313031019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9932262 + ... + 10034562.

Almost surely, 21021313031012 is an apocalyptic number.

1021313031012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021313031012 is an abundant number, since it is smaller than the sum of its proper divisors (1656242943900).

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

1021313031012 is a wasteful number, since it uses less digits than its factorization.

1021313031012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112591 (or 112577 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1021313031012 its reverse (2101303131201), we get a palindrome (3122616162213).

The spelling of 1021313031012 in words is "one trillion, twenty-one billion, three hundred thirteen million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 10271 20542 30813 41084 61626 92439 102301 123252 184878 204602 277317 306903 369756 409204 554634 613806 831951 920709 1109268 1227612 1663902 1841418 2495853 2762127 3327804 3682836 4991706 5524254 8286381 9983412 11048508 16572762 24859143 33145524 49718286 99436572 1050733571 2101467142 3152200713 4202934284 6304401426 9456602139 12608802852 18913204278 28369806417 37826408556 56739612834 85109419251 113479225668 170218838502 255328257753 340437677004 510656515506 1021313031012