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131013110100 = 223521687925873
BaseRepresentation
bin111101000000011111…
…1010110100101010100
3110112011112021120102010
41322000333112211110
54121303324010400
6140104145344220
712315425030055
oct1720077264524
9415145246363
10131013110100
1150620537804
1221484038070
13c47ba52072
1464abc6a72c
15361bc84450
hex1e80fd6954

131013110100 has 72 divisors (see below), whose sum is σ = 379101708160. Its totient is φ = 34933409280.

The previous prime is 131013110099. The next prime is 131013110161. The reversal of 131013110100 is 1011310131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5050764 + ... + 5076636.

Almost surely, 2131013110100 is an apocalyptic number.

131013110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131013110100 is an abundant number, since it is smaller than the sum of its proper divisors (248088598060).

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

131013110100 is a wasteful number, since it uses less digits than its factorization.

131013110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42769 (or 42762 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 131013110100 its reverse (1011310131), we get a palindrome (132024420231).

It can be divided in two parts, 1310131 and 10100, that added together give a palindrome (1320231).

The spelling of 131013110100 in words is "one hundred thirty-one billion, thirteen million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 16879 25873 33758 50637 51746 67516 77619 84395 101274 103492 129365 155238 168790 202548 253185 258730 310476 337580 388095 421975 506370 517460 646825 776190 843950 1012740 1265925 1293650 1552380 1687900 1940475 2531850 2587300 3880950 5063700 7761900 436710367 873420734 1310131101 1746841468 2183551835 2620262202 4367103670 5240524404 6550655505 8734207340 10917759175 13101311010 21835518350 26202622020 32753277525 43671036700 65506555050 131013110100