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131012224204032 = 283256862944533
BaseRepresentation
bin11101110010011110101001…
…000101011011110100000000
3122011212122110011102121201100
4131302132221011123310000
5114133001013344012112
61142350103535334400
736411215022400353
oct3562365105336400
9564778404377640
10131012224204032
1138820a77099586
121283b068981400
135814527295642
14244d04dd0629a
151022dde0bb2dc
hex7727a915bd00

131012224204032 has 54 divisors (see below), whose sum is σ = 377740540539362. Its totient is φ = 43670741400576.

The previous prime is 131012224203979. The next prime is 131012224204091. The reversal of 131012224204032 is 230402422210131.

131012224204032 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 12 + 2 + 242 + 0 + 403 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112024104212736 + 18988119991296 = 10584144^2 + 4357536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131012224203987 and 131012224204005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28431469963 + ... + 28431474570.

Almost surely, 2131012224204032 is an apocalyptic number.

131012224204032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131012224204032 is an abundant number, since it is smaller than the sum of its proper divisors (246728316335330).

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

131012224204032 is an equidigital number, since it uses as much as digits as its factorization.

131012224204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56862944555 (or 56862944538 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131012224204032 its reverse (230402422210131), we get a palindrome (361414646414163).

The spelling of 131012224204032 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 56862944533 113725889066 170588833599 227451778132 341177667198 454903556264 511766500797 682355334396 909807112528 1023533001594 1364710668792 1819614225056 2047066003188 2729421337584 3639228450112 4094132006376 5458842675168 7278456900224 8188264012752 10917685350336 14556913800448 16376528025504 21835370700672 32753056051008 43670741401344 65506112102016 131012224204032