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131132113201220 = 225234154791269013
BaseRepresentation
bin11101110100001110010011…
…000001101010100001000100
3122012022002220102201200222112
4131310032103001222201010
5114141432031434414340
61142521132224520152
736422661003143405
oct3564162301524104
9565262812650875
10131132113201220
11388678a932763a
121285a347480058
135822922486071
142454b845d59ac
1510260a9447065
hex77439306a844

131132113201220 has 96 divisors (see below), whose sum is σ = 294412872337920. Its totient is φ = 48939600061440.

The previous prime is 131132113201147. The next prime is 131132113201249. The reversal of 131132113201220 is 22102311231131.

It is a happy number.

It is a super-2 number, since 2×1311321132012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102699434 + ... + 103968446.

It is an arithmetic number, because the mean of its divisors is an integer number (3066800753520).

Almost surely, 2131132113201220 is an apocalyptic number.

131132113201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131132113201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147206436168960).

131132113201220 is an abundant number, since it is smaller than the sum of its proper divisors (163280759136700).

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

131132113201220 is a wasteful number, since it uses less digits than its factorization.

131132113201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274565 (or 1274563 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131132113201220 its reverse (22102311231131), we get a palindrome (153234424432351).

The spelling of 131132113201220 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, one hundred thirteen million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 5479 9430 10958 18860 21916 27395 54790 109580 126017 224639 252034 449278 504068 630085 898556 1123195 1260170 1269013 2246390 2520340 2538026 4492780 5076052 5166697 6345065 10333394 12690130 20666788 25380260 25833485 29187299 51666970 52029533 58374598 103333940 104059066 116749196 145936495 208118132 260147665 291872990 520295330 583745980 1040590660 1196679259 2393358518 4786717036 5983396295 6952922227 11966792590 13905844454 23933585180 27811688908 34764611135 69529222270 139058444540 159917211221 285069811307 319834422442 570139622614 639668844884 799586056105 1140279245228 1425349056535 1599172112210 2850698113070 3198344224420 5701396226140 6556605660061 13113211320122 26226422640244 32783028300305 65566056600610 131132113201220