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31133220120 = 23325805310739
BaseRepresentation
bin11100111111101011…
…110011110100011000
32222100201122110010200
4130333223303310120
51002230101020440
622145152542200
72151340001412
oct347753636430
988321573120
1031133220120
1112226989092
12604a551960
132c220a7652
141714b539b2
15c23372c30
hex73faf3d18

31133220120 has 96 divisors (see below), whose sum is σ = 101204953200. Its totient is φ = 8300388096.

The previous prime is 31133220067. The next prime is 31133220143. The reversal of 31133220120 is 2102233113.

31133220120 is a `hidden beast` number, since 311 + 332 + 2 + 0 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31133220093 and 31133220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2893711 + ... + 2904449.

Almost surely, 231133220120 is an apocalyptic number.

31133220120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31133220120 is an abundant number, since it is smaller than the sum of its proper divisors (70071733080).

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

31133220120 is a wasteful number, since it uses less digits than its factorization.

31133220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18809 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31133220120 its reverse (2102233113), we get a palindrome (33235453233).

The spelling of 31133220120 in words is "thirty-one billion, one hundred thirty-three million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8053 10739 16106 21478 24159 32212 32217 40265 42956 48318 53695 64424 64434 72477 80530 85912 96636 96651 107390 120795 128868 144954 161060 161085 193272 193302 214780 241590 257736 289908 322120 322170 362385 386604 429560 483180 483255 579816 644340 724770 773208 966360 966510 1288680 1449540 1933020 2899080 3866040 86481167 172962334 259443501 345924668 432405835 518887002 691849336 778330503 864811670 1037774004 1297217505 1556661006 1729623340 2075548008 2594435010 3113322012 3459246680 3891652515 5188870020 6226644024 7783305030 10377740040 15566610060 31133220120