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131123010320 = 2452473662773
BaseRepresentation
bin111101000011110001…
…0100101101100010000
3110112110012002002011122
41322013202211230100
54122014442312240
6140123113101412
712321231124631
oct1720742455420
9415405062148
10131123010320
1150677580435
12214b49b7868
13c498750b93
1464bc6b7888
1536267424b5
hex1e878a5b10

131123010320 has 40 divisors (see below), whose sum is σ = 304984734936. Its totient is φ = 52427916288.

The previous prime is 131123010313. The next prime is 131123010329. The reversal of 131123010320 is 23010321131.

It can be written as a sum of positive squares in 4 ways, for example, as 26812097536 + 104310912784 = 163744^2 + 322972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (131123010329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 133547 + ... + 529226.

Almost surely, 2131123010320 is an apocalyptic number.

131123010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131123010320 is an abundant number, since it is smaller than the sum of its proper divisors (173861724616).

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

131123010320 is a wasteful number, since it uses less digits than its factorization.

131123010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665259 (or 665253 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131123010320 its reverse (23010321131), we get a palindrome (154133331451).

The spelling of 131123010320 in words is "one hundred thirty-one billion, one hundred twenty-three million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2473 4946 9892 12365 19784 24730 39568 49460 98920 197840 662773 1325546 2651092 3313865 5302184 6627730 10604368 13255460 26510920 53021840 1639037629 3278075258 6556150516 8195188145 13112301032 16390376290 26224602064 32780752580 65561505160 131123010320