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131100023424 = 273341406311
BaseRepresentation
bin111101000011000101…
…0111001101010000000
3110112101120211020002010
41322012022321222000
54121443101222144
6140120532252520
712320531545506
oct1720612715200
9415346736063
10131100023424
11506655aaaa7
12214a9171140
13c493a63076
1464b9612676
1536247015b9
hex1e862b9a80

131100023424 has 32 divisors (see below), whose sum is σ = 348234438240. Its totient is φ = 43700007680.

The previous prime is 131100023407. The next prime is 131100023441. The reversal of 131100023424 is 424320001131.

It is an interprime number because it is at equal distance from previous prime (131100023407) and next prime (131100023441).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1311000234243 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 131100023424.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170702772 + ... + 170703539.

It is an arithmetic number, because the mean of its divisors is an integer number (10882326195).

Almost surely, 2131100023424 is an apocalyptic number.

It is an amenable number.

131100023424 is an abundant number, since it is smaller than the sum of its proper divisors (217134414816).

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

131100023424 is an equidigital number, since it uses as much as digits as its factorization.

131100023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341406328 (or 341406316 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131100023424 its reverse (424320001131), we get a palindrome (555420024555).

The spelling of 131100023424 in words is "one hundred thirty-one billion, one hundred million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 341406311 682812622 1024218933 1365625244 2048437866 2731250488 4096875732 5462500976 8193751464 10925001952 16387502928 21850003904 32775005856 43700007808 65550011712 131100023424