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131220003004432 = 24291931465293941
BaseRepresentation
bin11101110101100000001001…
…101010101010000000010000
3122012121111202121220022022021
4131311200021222222000100
5114144402031232120212
61143025345344221224
736432222000143626
oct3565401152520020
9565544677808267
10131220003004432
11388a10aa885641
121287339560a814
13582acbb05a194
142459121151516
1510285003e5307
hex775809aaa010

131220003004432 has 40 divisors (see below), whose sum is σ = 264368333015640. Its totient is φ = 63019361771520.

The previous prime is 131220003004411. The next prime is 131220003004469. The reversal of 131220003004432 is 234400300022131.

It can be written as a sum of positive squares in 4 ways, for example, as 49243565925376 + 81976437079056 = 7017376^2 + 9054084^2 .

It is a super-2 number, since 2×1312200030044322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131220003004397 and 131220003004406.

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, 732557419 + ... + 732736522.

It is an arithmetic number, because the mean of its divisors is an integer number (6609208325391).

Almost surely, 2131220003004432 is an apocalyptic number.

It is an amenable number.

131220003004432 is an abundant number, since it is smaller than the sum of its proper divisors (133148330011208).

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

131220003004432 is a wasteful number, since it uses less digits than its factorization.

131220003004432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465294171 (or 1465294165 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 131220003004432 its reverse (234400300022131), we get a palindrome (365620303026563).

The spelling of 131220003004432 in words is "one hundred thirty-one trillion, two hundred twenty billion, three million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 193 232 386 464 772 1544 3088 5597 11194 22388 44776 89552 1465293941 2930587882 5861175764 11722351528 23444703056 42493524289 84987048578 169974097156 282801730613 339948194312 565603461226 679896388624 1131206922452 2262413844904 4524827689808 8201250187777 16402500375554 32805000751108 65610001502216 131220003004432