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131414221204 = 22771137482509
BaseRepresentation
bin111101001100011100…
…1011110000110010100
3110120012111001010101221
41322120321132012110
54123114020034304
6140212034500124
712331365310150
oct1723071360624
9416174033357
10131414221204
11508069a1492
1221576434644
13c513b92306
146509240060
1536420b7054
hex1e98e5e194

131414221204 has 48 divisors (see below), whose sum is σ = 268476284160. Its totient is φ = 55121713920.

The previous prime is 131414221181. The next prime is 131414221261. The reversal of 131414221204 is 402122414131.

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 15 ways as a sum of consecutive naturals, for example, 31102 + ... + 513610.

It is an arithmetic number, because the mean of its divisors is an integer number (5593255920).

Almost surely, 2131414221204 is an apocalyptic number.

131414221204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131414221204 is an abundant number, since it is smaller than the sum of its proper divisors (137062062956).

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

131414221204 is a wasteful number, since it uses less digits than its factorization.

131414221204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482728 (or 482726 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 131414221204 its reverse (402122414131), we get a palindrome (533536635335).

The spelling of 131414221204 in words is "one hundred thirty-one billion, four hundred fourteen million, two hundred twenty-one thousand, two hundred four".

Divisors: 1 2 4 7 14 28 71 137 142 274 284 497 548 959 994 1918 1988 3836 9727 19454 38908 68089 136178 272356 482509 965018 1930036 3377563 6755126 13510252 34258139 66103733 68516278 132207466 137032556 239806973 264414932 462726131 479613946 925452262 959227892 1850904524 4693365043 9386730086 18773460172 32853555301 65707110602 131414221204