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131200212132 = 223311432568323
BaseRepresentation
bin111101000110000100…
…1000101110010100100
3110112122120100100011000
41322030021011302210
54122144223242012
6140134511513300
712323156255043
oct1721411056244
9415576310130
10131200212132
1150707110290
1221516828830
13c4ab741722
1464c8a5255a
15362d3e1ddc
hex1e8c245ca4

131200212132 has 96 divisors (see below), whose sum is σ = 379701020160. Its totient is φ = 38833028640.

The previous prime is 131200212119. The next prime is 131200212167. The reversal of 131200212132 is 231212002131.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1233078 + ... + 1335245.

It is an arithmetic number, because the mean of its divisors is an integer number (3955218960).

Almost surely, 2131200212132 is an apocalyptic number.

131200212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131200212132 is an abundant number, since it is smaller than the sum of its proper divisors (248500808028).

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

131200212132 is a wasteful number, since it uses less digits than its factorization.

131200212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568390 (or 2568382 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131200212132 its reverse (231212002131), we get a palindrome (362412214263).

The spelling of 131200212132 in words is "one hundred thirty-one billion, two hundred million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 129 132 172 198 258 297 387 396 473 516 594 774 946 1161 1188 1419 1548 1892 2322 2838 4257 4644 5676 8514 12771 17028 25542 51084 2568323 5136646 7704969 10273292 15409938 23114907 28251553 30819876 46229814 56503106 69344721 84754659 92459628 110437889 113006212 138689442 169509318 220875778 254263977 277378884 331313667 339018636 441751556 508527954 662627334 762791931 993941001 1017055908 1214816779 1325254668 1525583862 1987882002 2429633558 2981823003 3051167724 3644450337 3975764004 4859267116 5963646006 7288900674 10933351011 11927292012 14577801348 21866702022 32800053033 43733404044 65600106066 131200212132