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31133111220 = 22325172961729
BaseRepresentation
bin11100111111101011…
…011001001110110100
32222100201102220202100
4130333223121032310
51002230034024340
622145150342100
72151336036051
oct347753311664
988321386670
1031133111220
1112226914292
12604a4ba930
132c22069c03
141714b26028
15c23350830
hex73fad93b4

31133111220 has 36 divisors (see below), whose sum is σ = 94437104580. Its totient is φ = 8302162944.

The previous prime is 31133111189. The next prime is 31133111227. The reversal of 31133111220 is 2211133113.

31133111220 is a `hidden beast` number, since 311 + 331 + 1 + 1 + 2 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8852175396 + 22280935824 = 94086^2 + 149268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×311331112202 (a number of 22 digits) contains 22 as substring.

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 = 31133111193 and 31133111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31133111227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86480685 + ... + 86481044.

It is an arithmetic number, because the mean of its divisors is an integer number (2623252905).

Almost surely, 231133111220 is an apocalyptic number.

31133111220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31133111220 is an abundant number, since it is smaller than the sum of its proper divisors (63303993360).

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

31133111220 is a wasteful number, since it uses less digits than its factorization.

31133111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172961744 (or 172961739 counting only the distinct ones).

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

Adding to 31133111220 its reverse (2211133113), we get a palindrome (33344244333).

The spelling of 31133111220 in words is "thirty-one billion, one hundred thirty-three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 172961729 345923458 518885187 691846916 864808645 1037770374 1556655561 1729617290 2075540748 2594425935 3113311122 3459234580 5188851870 6226622244 7783277805 10377703740 15566555610 31133111220