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31695107141 = 293121137289
BaseRepresentation
bin11101100001001011…
…001111010001000101
310000210212221021020002
4131201023033101011
51004402421412031
622321024051045
72201301652115
oct354113172105
9100725837202
1031695107141
1112495075125
126186763a85
132cb161a589
141769619045
15c57862ccb
hex7612cf445

31695107141 has 12 divisors (see below), whose sum is σ = 33879869100. Its totient is φ = 29614979520.

The previous prime is 31695107053. The next prime is 31695107149. The reversal of 31695107141 is 14170159613.

It can be written as a sum of positive squares in 2 ways, for example, as 24663446116 + 7031661025 = 157046^2 + 83855^2 .

It is not a de Polignac number, because 31695107141 - 226 = 31627998277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31695107095 and 31695107104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31695107149) 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 11 ways as a sum of consecutive naturals, for example, 540776 + ... + 596513.

It is an arithmetic number, because the mean of its divisors is an integer number (2823322425).

Almost surely, 231695107141 is an apocalyptic number.

31695107141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31695107141 is a deficient number, since it is larger than the sum of its proper divisors (2184761959).

31695107141 is a wasteful number, since it uses less digits than its factorization.

31695107141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137380 (or 1137349 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 31695107141 in words is "thirty-one billion, six hundred ninety-five million, one hundred seven thousand, one hundred forty-one".

Divisors: 1 29 31 899 961 27869 1137289 32981381 35255959 1022422811 1092934729 31695107141