Search a number
-
+
131141324000021 = 1736023321414461
BaseRepresentation
bin11101110100010110111000…
…000010000100101100010101
3122012022222200100110202120212
4131310112320002010230111
5114142104412421000041
61142525254220135205
736423435155506256
oct3564267002045425
9565288610422525
10131141324000021
11388707a5607055
1212860098097505
13582375c80197a
1424553b9a00b2d
151026447db28eb
hex7745b8084b15

131141324000021 has 8 divisors (see below), whose sum is σ = 138855911473944. Its totient is φ = 123426780075520.

The previous prime is 131141323999883. The next prime is 131141324000041. The reversal of 131141324000021 is 120000423141131.

It can be written as a sum of positive squares in 4 ways, for example, as 43279477893796 + 87861846106225 = 6578714^2 + 9373465^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131141324000021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141324000041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4583270 + ... + 16831191.

It is an arithmetic number, because the mean of its divisors is an integer number (17356988934243).

Almost surely, 2131141324000021 is an apocalyptic number.

It is an amenable number.

131141324000021 is a deficient number, since it is larger than the sum of its proper divisors (7714587473923).

131141324000021 is a wasteful number, since it uses less digits than its factorization.

131141324000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21774711.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 131141324000021 its reverse (120000423141131), we get a palindrome (251141747141152).

The spelling of 131141324000021 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, twenty-one", and thus it is an aban number.

Divisors: 1 17 360233 6123961 21414461 364045837 7714195529413 131141324000021