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131200121430 = 23257208254161
BaseRepresentation
bin111101000110000100…
…0101111101001010110
3110112122120011201201200
41322030020233221112
54122144212341210
6140134505533330
712323155426440
oct1721410575126
9415576151650
10131200121430
1150707059124
12215167a4246
13c4ab70c361
1464c8a2b490
15362d3c50c0
hex1e8c22fa56

131200121430 has 48 divisors (see below), whose sum is σ = 389851791264. Its totient is φ = 29988599040.

The previous prime is 131200121257. The next prime is 131200121441. The reversal of 131200121430 is 34121002131.

131200121430 is a `hidden beast` number, since 1 + 31 + 200 + 1 + 2 + 1 + 430 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104126451 + ... + 104127710.

It is an arithmetic number, because the mean of its divisors is an integer number (8121912318).

Almost surely, 2131200121430 is an apocalyptic number.

131200121430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131200121430 is an abundant number, since it is smaller than the sum of its proper divisors (258651669834).

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

131200121430 is a wasteful number, since it uses less digits than its factorization.

131200121430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208254181 (or 208254178 counting only the distinct ones).

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

Adding to 131200121430 its reverse (34121002131), we get a palindrome (165321123561).

The spelling of 131200121430 in words is "one hundred thirty-one billion, two hundred million, one hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 208254161 416508322 624762483 1041270805 1249524966 1457779127 1874287449 2082541610 2915558254 3123812415 3748574898 4373337381 6247624830 7288895635 8746674762 9371437245 13120012143 14577791270 18742874490 21866686905 26240024286 43733373810 65600060715 131200121430