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131105400 = 23352218509
BaseRepresentation
bin1111101000010…
…00001001111000
3100010200211210120
413310020021320
5232030333100
621002013240
73151243326
oct764101170
9303624716
10131105400
1168007478
1237aa7220
132121497a
14135aad16
15b79b0a0
hex7d08278

131105400 has 48 divisors (see below), whose sum is σ = 406428600. Its totient is φ = 34961280.

The previous prime is 131105369. The next prime is 131105423. The reversal of 131105400 is 4501131.

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 131105400.

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, 108655 + ... + 109854.

Almost surely, 2131105400 is an apocalyptic number.

131105400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131105400 is an abundant number, since it is smaller than the sum of its proper divisors (275323200).

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

131105400 is a wasteful number, since it uses less digits than its factorization.

131105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218528 (or 218519 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 131105400 is about 11450.1266368543. The cubic root of 131105400 is about 508.0114800969.

Adding to 131105400 its reverse (4501131), we get a palindrome (135606531).

The spelling of 131105400 in words is "one hundred thirty-one million, one hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 218509 437018 655527 874036 1092545 1311054 1748072 2185090 2622108 3277635 4370180 5244216 5462725 6555270 8740360 10925450 13110540 16388175 21850900 26221080 32776350 43701800 65552700 131105400