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31634135105 = 52927522981
BaseRepresentation
bin11101011101100010…
…101001100001000001
310000122122012120022112
4131131202221201001
51004241314310410
622311005145105
72166631466066
oct353542514101
9100578176275
1031634135105
111246370aa11
12616a25b195
132ca1ac0051
1417614a6c6d
15c5231c105
hex75d8a9841

31634135105 has 12 divisors (see below), whose sum is σ = 39315103932. Its totient is φ = 24434639040.

The previous prime is 31634135081. The next prime is 31634135147. The reversal of 31634135105 is 50153143613.

It can be written as a sum of positive squares in 6 ways, for example, as 2750792704 + 28883342401 = 52448^2 + 169951^2 .

It is a de Polignac number, because none of the positive numbers 2k-31634135105 is a prime.

It is a super-2 number, since 2×316341351052 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3757286 + ... + 3765695.

It is an arithmetic number, because the mean of its divisors is an integer number (3276258661).

Almost surely, 231634135105 is an apocalyptic number.

It is an amenable number.

31634135105 is a deficient number, since it is larger than the sum of its proper divisors (7680968827).

31634135105 is an equidigital number, since it uses as much as digits as its factorization.

31634135105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523044 (or 7523015 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 31634135105 its reverse (50153143613), we get a palindrome (81787278718).

The spelling of 31634135105 in words is "thirty-one billion, six hundred thirty-four million, one hundred thirty-five thousand, one hundred five".

Divisors: 1 5 29 145 841 4205 7522981 37614905 218166449 1090832245 6326827021 31634135105