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311031112000020 = 223531661072529551
BaseRepresentation
bin100011010111000011001001…
…0111100011110001000010100
31111210021021122222022121210120
41012232012102330132020110
5311231413204133000040
63021301415325551540
7122341153622415006
oct10656062274361024
91453237588277716
10311031112000020
1190116610183545
122aa73ab61155b0
13104721533b3929
1456b3db3d9a376
1525e59765987d0
hex11ae192f1e214

311031112000020 has 96 divisors (see below), whose sum is σ = 898994200559616. Its totient is φ = 80264847504000.

The previous prime is 311031111999997. The next prime is 311031112000057. The reversal of 311031112000020 is 20000211130113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121694245 + ... + 124223795.

It is an arithmetic number, because the mean of its divisors is an integer number (9364522922496).

Almost surely, 2311031112000020 is an apocalyptic number.

311031112000020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311031112000020 is an abundant number, since it is smaller than the sum of its proper divisors (587963088559596).

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

311031112000020 is a wasteful number, since it uses less digits than its factorization.

311031112000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595701 (or 2595699 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 311031112000020 its reverse (20000211130113), we get a palindrome (331031323130133).

The spelling of 311031112000020 in words is "three hundred eleven trillion, thirty-one billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 66107 132214 198321 264428 330535 396642 661070 793284 991605 1322140 1983210 2049317 2529551 3966420 4098634 5059102 6147951 7588653 8197268 10118204 10246585 12295902 12647755 15177306 20493170 24591804 25295510 30354612 30739755 37943265 40986340 50591020 61479510 75886530 78416081 122959020 151773060 156832162 235248243 313664324 392080405 470496486 784160810 940992972 1176241215 1568321620 2352482430 4704964860 167221027957 334442055914 501663083871 668884111828 836105139785 1003326167742 1672210279570 2006652335484 2508315419355 3344420559140 5016630838710 5183851866667 10033261677420 10367703733334 15551555600001 20735407466668 25919259333335 31103111200002 51838518666670 62206222400004 77757778000005 103677037333340 155515556000010 311031112000020