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131220102100 = 22521737584977
BaseRepresentation
bin111101000110101010…
…0111101101111010100
3110112200221202212001111
41322031110331233110
54122214321231400
6140140502104404
712323520315223
oct1721524755724
9415627685044
10131220102100
115071736597a
122152141b104
13c4b28b6a39
1464cb54ccba
1536300203ba
hex1e8d53dbd4

131220102100 has 36 divisors (see below), whose sum is σ = 286393599324. Its totient is φ = 52184634880.

The previous prime is 131220102053. The next prime is 131220102107. The reversal of 131220102100 is 1201022131.

It can be written as a sum of positive squares in 6 ways, for example, as 6438778564 + 124781323536 = 80242^2 + 353244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131220102107) 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, 3775189 + ... + 3809788.

It is an arithmetic number, because the mean of its divisors is an integer number (7955377759).

Almost surely, 2131220102100 is an apocalyptic number.

131220102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131220102100 is an abundant number, since it is smaller than the sum of its proper divisors (155173497224).

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

131220102100 is a wasteful number, since it uses less digits than its factorization.

131220102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585164 (or 7585157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 131220102100 its reverse (1201022131), we get a palindrome (132421124231).

The spelling of 131220102100 in words is "one hundred thirty-one billion, two hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 17300 7584977 15169954 30339908 37924885 75849770 151699540 189624425 379248850 758497700 1312201021 2624402042 5248804084 6561005105 13122010210 26244020420 32805025525 65610051050 131220102100