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131021413404 = 2237331832219
BaseRepresentation
bin111101000000101111…
…1000001110000011100
3110112012002220102101220
41322001133001300130
54121312440212104
6140105043333340
712315555432000
oct1720137016034
9415162812356
10131021413404
1150625199142
1221486981250
13c48069b56b
1464acdcc700
15361c8747d9
hex1e817c1c1c

131021413404 has 48 divisors (see below), whose sum is σ = 356520864000. Its totient is φ = 37434688368.

The previous prime is 131021413387. The next prime is 131021413427. The reversal of 131021413404 is 404314120131.

131021413404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1310214134042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15911994 + ... + 15920225.

It is an arithmetic number, because the mean of its divisors is an integer number (7427518000).

Almost surely, 2131021413404 is an apocalyptic number.

131021413404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131021413404 is an abundant number, since it is smaller than the sum of its proper divisors (225499450596).

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

131021413404 is a wasteful number, since it uses less digits than its factorization.

131021413404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31832247 (or 31832231 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131021413404 its reverse (404314120131), we get a palindrome (535335533535).

The spelling of 131021413404 in words is "one hundred thirty-one billion, twenty-one million, four hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 31832219 63664438 95496657 127328876 190993314 222825533 381986628 445651066 668476599 891302132 1336953198 1559778731 2673906396 3119557462 4679336193 6239114924 9358672386 10918451117 18717344772 21836902234 32755353351 43673804468 65510706702 131021413404