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131121323232 = 2531889723053
BaseRepresentation
bin111101000011101110…
…0001001110011100000
3110112110001220100220220
41322013130021303200
54122014024320412
6140123013003040
712321210600204
oct1720734116340
9415401810826
10131121323232
1150676628949
12214b4323480
13c4982accc3
1464bc398b04
15362650c68c
hex1e87709ce0

131121323232 has 48 divisors (see below), whose sum is σ = 344376159120. Its totient is φ = 43683909632.

The previous prime is 131121323219. The next prime is 131121323293. The reversal of 131121323232 is 232323121131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1311213232322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 180183 + ... + 542870.

It is an arithmetic number, because the mean of its divisors is an integer number (7174503315).

Almost surely, 2131121323232 is an apocalyptic number.

131121323232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131121323232 is an abundant number, since it is smaller than the sum of its proper divisors (213254835888).

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

131121323232 is a wasteful number, since it uses less digits than its factorization.

131121323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724955 (or 724947 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 131121323232 its reverse (232323121131), we get a palindrome (363444444363).

The spelling of 131121323232 in words is "one hundred thirty-one billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1889 3778 5667 7556 11334 15112 22668 30224 45336 60448 90672 181344 723053 1446106 2169159 2892212 4338318 5784424 8676636 11568848 17353272 23137696 34706544 69413088 1365847117 2731694234 4097541351 5463388468 8195082702 10926776936 16390165404 21853553872 32780330808 43707107744 65560661616 131121323232