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31101133122 = 2321727840729
BaseRepresentation
bin11100111101110001…
…011010000101000010
32222021111021021001100
4130331301122011002
51002143342224442
622142045115230
72150500161333
oct347561320502
988244237040
1031101133122
111220a862704
12603b858b16
132c18551767
1417107a028a
15c2063584c
hex73dc5a142

31101133122 has 12 divisors (see below), whose sum is σ = 67385788470. Its totient is φ = 10367044368.

The previous prime is 31101133121. The next prime is 31101133127. The reversal of 31101133122 is 22133110113.

31101133122 is a `hidden beast` number, since 311 + 0 + 1 + 1 + 331 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21898376361 + 9202756761 = 147981^2 + 95931^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1727840729 = 31101133122 / (3 + 1 + 1 + 0 + 1 + 1 + 3 + 3 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 31101133095 and 31101133104.

It is not an unprimeable number, because it can be changed into a prime (31101133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 863920347 + ... + 863920382.

Almost surely, 231101133122 is an apocalyptic number.

31101133122 is an abundant number, since it is smaller than the sum of its proper divisors (36284655348).

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

31101133122 is a wasteful number, since it uses less digits than its factorization.

31101133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727840737 (or 1727840734 counting only the distinct ones).

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

Adding to 31101133122 its reverse (22133110113), we get a palindrome (53234243235).

The spelling of 31101133122 in words is "thirty-one billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1727840729 3455681458 5183522187 10367044374 15550566561 31101133122