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31133310120 = 23335119727017
BaseRepresentation
bin11100111111101100…
…001001110010101000
32222100201211000121000
4130333230021302220
51002230111410440
622145154515000
72151340524663
oct347754116250
988321730530
1031133310120
1112226a3a770
12604a595a60
132c221095c3
141714b786da
15c2338e730
hex73fb09ca8

31133310120 has 256 divisors, whose sum is σ = 114383404800. Its totient is φ = 7469383680.

The previous prime is 31133310101. The next prime is 31133310121. The reversal of 31133310120 is 2101333113.

It is a happy number.

31133310120 is a `hidden beast` number, since 311 + 3 + 331 + 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 = 31133310093 and 31133310102.

It is not an unprimeable number, because it can be changed into a prime (31133310121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138852 + ... + 1165868.

It is an arithmetic number, because the mean of its divisors is an integer number (446810175).

Almost surely, 231133310120 is an apocalyptic number.

31133310120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31133310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57191702400).

31133310120 is an abundant number, since it is smaller than the sum of its proper divisors (83250094680).

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

31133310120 is a wasteful number, since it uses less digits than its factorization.

31133310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145 (or 27135 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31133310120 its reverse (2101333113), we get a palindrome (33234643233).

The spelling of 31133310120 in words is "thirty-one billion, one hundred thirty-three million, three hundred ten thousand, one hundred twenty".