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131540131132400 = 24521731900868947
BaseRepresentation
bin11101111010001010010010…
…110010100011001111110000
3122020202010001220110011211102
4131322022102302203033300
5114220123142032214100
61143432411345103532
736464314034266154
oct3572122262431760
9566663056404742
10131540131132400
1138a04946864341
1212905437927ba8
135852247c75083
14246a80d5ad064
1510319d9bcdcd5
hex77a292ca33f0

131540131132400 has 60 divisors (see below), whose sum is σ = 317851900270872. Its totient is φ = 52311913393920.

The previous prime is 131540131132331. The next prime is 131540131132433. The reversal of 131540131132400 is 4231131045131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 950365274 + ... + 950503673.

Almost surely, 2131540131132400 is an apocalyptic number.

131540131132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131540131132400 is an abundant number, since it is smaller than the sum of its proper divisors (186311769138472).

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

131540131132400 is a wasteful number, since it uses less digits than its factorization.

131540131132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900869138 (or 1900869127 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 131540131132400 its reverse (4231131045131), we get a palindrome (135771262177531).

The spelling of 131540131132400 in words is "one hundred thirty-one trillion, five hundred forty billion, one hundred thirty-one million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 173 200 346 400 692 865 1384 1730 2768 3460 4325 6920 8650 13840 17300 34600 69200 1900868947 3801737894 7603475788 9504344735 15206951576 19008689470 30413903152 38017378940 47521723675 76034757880 95043447350 152069515760 190086894700 328850327831 380173789400 657700655662 760347578800 1315401311324 1644251639155 2630802622648 3288503278310 5261605245296 6577006556620 8221258195775 13154013113240 16442516391550 26308026226480 32885032783100 65770065566200 131540131132400