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131300569540 = 22572217961487
BaseRepresentation
bin111101001001000011…
…1111011000111000100
3110112220120012000122001
41322102013323013010
54122400421211130
6140152454515044
712325515266200
oct1722207730704
9415816160561
10131300569540
1150758826298
1221544365a84
13c4c647baca
1464d80d7b00
1536371176ca
hex1e921fb1c4

131300569540 has 72 divisors (see below), whose sum is σ = 320900952960. Its totient is φ = 44995946688.

The previous prime is 131300569511. The next prime is 131300569571. The reversal of 131300569540 is 45965003131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131300569540.

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, 2104677 + ... + 2166163.

It is an arithmetic number, because the mean of its divisors is an integer number (4456957680).

Almost surely, 2131300569540 is an apocalyptic number.

131300569540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131300569540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160450476480).

131300569540 is an abundant number, since it is smaller than the sum of its proper divisors (189600383420).

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

131300569540 is a wasteful number, since it uses less digits than its factorization.

131300569540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63689 (or 63680 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 131300569540 in words is "one hundred thirty-one billion, three hundred million, five hundred sixty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2179 4358 8716 10895 15253 21790 30506 43580 61012 61487 76265 106771 122974 152530 213542 245948 305060 307435 427084 430409 533855 614870 860818 1067710 1229740 1721636 2135420 2152045 3012863 4304090 6025726 8608180 12051452 15064315 30128630 60257260 133980173 267960346 535920692 669900865 937861211 1339801730 1875722422 2679603460 3751444844 4689306055 6565028477 9378612110 13130056954 18757224220 26260113908 32825142385 65650284770 131300569540