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131225978460 = 22352975417229
BaseRepresentation
bin111101000110110101…
…1011000011001011100
3110112201100211101220110
41322031223120121130
54122222322302320
6140141232050020
712323621261403
oct1721553303134
9415640741813
10131225978460
115071a709975
1221523393910
13c4b3b93685
1464cc23c63a
1536307d15e0
hex1e8dad865c

131225978460 has 48 divisors (see below), whose sum is σ = 380102839200. Its totient is φ = 33786918144.

The previous prime is 131225978447. The next prime is 131225978491. The reversal of 131225978460 is 64879522131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37706875 + ... + 37710354.

It is an arithmetic number, because the mean of its divisors is an integer number (7918809150).

It is a 1-persistent number, because it is pandigital, but 2⋅131225978460 = 262451956920 is not.

Almost surely, 2131225978460 is an apocalyptic number.

131225978460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131225978460 is an abundant number, since it is smaller than the sum of its proper divisors (248876860740).

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

131225978460 is a wasteful number, since it uses less digits than its factorization.

131225978460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75417270 (or 75417268 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 131225978460 in words is "one hundred thirty-one billion, two hundred twenty-five million, nine hundred seventy-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 75417229 150834458 226251687 301668916 377086145 452503374 754172290 905006748 1131258435 1508344580 2187099641 2262516870 4374199282 4525033740 6561298923 8748398564 10935498205 13122597846 21870996410 26245195692 32806494615 43741992820 65612989230 131225978460