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31122110130021 = 3232257107201917
BaseRepresentation
bin1110001001110001011100…
…10100011010011101100101
311002012020121100212111200100
413010320232110122131211
513034401040143130041
6150105144445334313
76361332621205221
oct704705624323545
9132166540774610
1031122110130021
119a098a38a8a79
1235a780b867399
131449a57b18aa1
147984650a1781
1538e8568ae6b6
hex1c4e2e51a765

31122110130021 has 12 divisors (see below), whose sum is σ = 44955553120972. Its totient is φ = 20747430014976.

The previous prime is 31122110130019. The next prime is 31122110130029. The reversal of 31122110130021 is 12003101122113.

31122110130021 is a `hidden beast` number, since 311 + 2 + 21 + 10 + 1 + 300 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12117959739396 + 19004150390625 = 3481086^2 + 4359375^2 .

It is not a de Polignac number, because 31122110130021 - 21 = 31122110130019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31122110129976 and 31122110130003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122110130029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53310646 + ... + 53891271.

Almost surely, 231122110130021 is an apocalyptic number.

It is an amenable number.

31122110130021 is a deficient number, since it is larger than the sum of its proper divisors (13833442990951).

31122110130021 is a wasteful number, since it uses less digits than its factorization.

31122110130021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107234180 (or 107234177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31122110130021 its reverse (12003101122113), we get a palindrome (43125211252134).

The spelling of 31122110130021 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred ten million, one hundred thirty thousand, twenty-one".

Divisors: 1 3 9 32257 96771 290313 107201917 321605751 964817253 3458012236669 10374036710007 31122110130021