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131005515040 = 255978441077
BaseRepresentation
bin111101000000010001…
…0011000010100100000
3110112010222222200221121
41322000202120110200
54121244402440130
6140103314502024
712315303335041
oct1720042302440
9415128880847
10131005515040
115061721a4a4
1221481594914
13c47a2c304a
1464aac508c8
15361b283d7a
hex1e80898520

131005515040 has 48 divisors (see below), whose sum is σ = 312691293432. Its totient is φ = 51861970944.

The previous prime is 131005515019. The next prime is 131005515077. The reversal of 131005515040 is 40515500131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110433923856 + 20571591184 = 332316^2 + 143428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131005514996 and 131005515014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4205019 + ... + 4236058.

Almost surely, 2131005515040 is an apocalyptic number.

131005515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131005515040 is an abundant number, since it is smaller than the sum of its proper divisors (181685778392).

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

131005515040 is an equidigital number, since it uses as much as digits as its factorization.

131005515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441189 (or 8441181 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 131005515040 in words is "one hundred thirty-one billion, five million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7760 15520 8441077 16882154 33764308 42205385 67528616 84410770 135057232 168821540 270114464 337643080 675286160 818784469 1350572320 1637568938 3275137876 4093922345 6550275752 8187844690 13100551504 16375689380 26201103008 32751378760 65502757520 131005515040