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31132123020 = 22325175398663
BaseRepresentation
bin11100111111100111…
…100111111110001100
32222100122120201012100
4130333213213332030
51002224310414040
622145113235100
72151324452025
oct347747477614
988318521170
1031132123020
11122262a9899
12604a102a90
132c21ab218b
141714949c4c
15c23207b30
hex73f9e7f8c

31132123020 has 72 divisors (see below), whose sum is σ = 94488934176. Its totient is φ = 8297079552.

The previous prime is 31132123013. The next prime is 31132123021. The reversal of 31132123020 is 2032123113.

31132123020 is a `hidden beast` number, since 311 + 321 + 2 + 30 + 2 + 0 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 31132122984 and 31132123002.

It is not an unprimeable number, because it can be changed into a prime (31132123021) 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, 266209 + ... + 364871.

It is an arithmetic number, because the mean of its divisors is an integer number (1312346308).

Almost surely, 231132123020 is an apocalyptic number.

31132123020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31132123020 is an abundant number, since it is smaller than the sum of its proper divisors (63356811156).

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

31132123020 is a wasteful number, since it uses less digits than its factorization.

31132123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100431 (or 100426 counting only the distinct ones).

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

Adding to 31132123020 its reverse (2032123113), we get a palindrome (33164246133).

The spelling of 31132123020 in words is "thirty-one billion, one hundred thirty-two million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1753 3506 5259 7012 8765 10518 15777 17530 21036 26295 31554 35060 52590 63108 78885 98663 105180 157770 197326 295989 315540 394652 493315 591978 887967 986630 1183956 1479945 1775934 1973260 2959890 3551868 4439835 5919780 8879670 17759340 172956239 345912478 518868717 691824956 864781195 1037737434 1556606151 1729562390 2075474868 2594343585 3113212302 3459124780 5188687170 6226424604 7783030755 10377374340 15566061510 31132123020