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131125300040 = 2357468304643
BaseRepresentation
bin111101000011110101…
…1010100101101001000
3110112110100101102002002
41322013223110231020
54122021034100130
6140123234130132
712321256442330
oct1720753245510
9415410342062
10131125300040
11506788a4769
12214b5720948
13c499073147
1464bcb120c0
153626a45b45
hex1e87ad4b48

131125300040 has 32 divisors (see below), whose sum is σ = 337179343680. Its totient is φ = 44957245632.

The previous prime is 131125300027. The next prime is 131125300057. The reversal of 131125300040 is 40003521131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131125299985 and 131125300021.

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 7 ways as a sum of consecutive naturals, for example, 234152042 + ... + 234152601.

It is an arithmetic number, because the mean of its divisors is an integer number (10536854490).

Almost surely, 2131125300040 is an apocalyptic number.

131125300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131125300040 is an abundant number, since it is smaller than the sum of its proper divisors (206054043640).

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

131125300040 is a wasteful number, since it uses less digits than its factorization.

131125300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468304661 (or 468304657 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 131125300040 its reverse (40003521131), we get a palindrome (171128821171).

The spelling of 131125300040 in words is "one hundred thirty-one billion, one hundred twenty-five million, three hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 468304643 936609286 1873218572 2341523215 3278132501 3746437144 4683046430 6556265002 9366092860 13112530004 16390662505 18732185720 26225060008 32781325010 65562650020 131125300040