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131331110100 = 22352437770367
BaseRepresentation
bin111101001001111110…
…0011011010011010100
3110112222200122122101220
41322103330123103110
54122431231010400
6140155505250340
712326336005551
oct1722374332324
9415880578356
10131331110100
1150773a95923
12215526339b0
13c4cc8b2b48
1464dc1a7a28
153639b4b7a0
hex1e93f1b4d4

131331110100 has 36 divisors (see below), whose sum is σ = 379984679424. Its totient is φ = 35021629280.

The previous prime is 131331110033. The next prime is 131331110107. The reversal of 131331110100 is 1011133131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131331110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331110107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218884884 + ... + 218885483.

It is an arithmetic number, because the mean of its divisors is an integer number (10555129984).

Almost surely, 2131331110100 is an apocalyptic number.

131331110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331110100 is an abundant number, since it is smaller than the sum of its proper divisors (248653569324).

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

131331110100 is a wasteful number, since it uses less digits than its factorization.

131331110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437770384 (or 437770377 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 131331110100 its reverse (1011133131), we get a palindrome (132342243231).

The spelling of 131331110100 in words is "one hundred thirty-one billion, three hundred thirty-one 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 437770367 875540734 1313311101 1751081468 2188851835 2626622202 4377703670 5253244404 6566555505 8755407340 10944259175 13133111010 21888518350 26266222020 32832777525 43777036700 65665555050 131331110100