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131210031101 = 4197162120353
BaseRepresentation
bin111101000110010111…
…0100010111111111101
3110112200020211012020112
41322030232202333331
54122204231443401
6140135502155405
712323335601552
oct1721456427775
9415606735215
10131210031101
1150711707436
1221519b82b65
13c4b079ba76
1464ca08aa29
15362e1d13bb
hex1e8cba2ffd

131210031101 has 16 divisors (see below), whose sum is σ = 135886397808. Its totient is φ = 126605721600.

The previous prime is 131210031031. The next prime is 131210031133. The reversal of 131210031101 is 101130012131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6851535076 + 124358496025 = 82774^2 + 352645^2 .

It is a cyclic number.

It is not a de Polignac number, because 131210031101 - 214 = 131210014717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131210034101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6436541 + ... + 6456893.

It is an arithmetic number, because the mean of its divisors is an integer number (8492899863).

Almost surely, 2131210031101 is an apocalyptic number.

It is an amenable number.

131210031101 is a deficient number, since it is larger than the sum of its proper divisors (4676366707).

131210031101 is a wasteful number, since it uses less digits than its factorization.

131210031101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22112.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131210031101 its reverse (101130012131), we get a palindrome (232340043232).

The spelling of 131210031101 in words is "one hundred thirty-one billion, two hundred ten million, thirty-one thousand, one hundred one".

Divisors: 1 41 97 1621 3977 20353 66461 157237 834473 1974241 6446717 32992213 80943881 1352680733 3200244661 131210031101