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131483235753 = 3254721266977
BaseRepresentation
bin111101001110100000…
…0101111010110101001
3110120101021220102120100
41322131000233112221
54123234202021003
6140222542020013
712333164030562
oct1723500572651
9416337812510
10131483235753
115084194a101
1221595577609
13c52527741c
146514487169
15364819aba3
hex1e9d02f5a9

131483235753 has 12 divisors (see below), whose sum is σ = 189924411508. Its totient is φ = 87653560320.

The previous prime is 131483235661. The next prime is 131483235769. The reversal of 131483235753 is 357532384131.

131483235753 is a `hidden beast` number, since 1 + 3 + 1 + 48 + 32 + 3 + 575 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79923813264 + 51559422489 = 282708^2 + 227067^2 .

It is not a de Polignac number, because 131483235753 - 226 = 131416126889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131483235699 and 131483235708.

It is not an unprimeable number, because it can be changed into a prime (131483235773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359001 + ... + 625977.

Almost surely, 2131483235753 is an apocalyptic number.

It is an amenable number.

131483235753 is a deficient number, since it is larger than the sum of its proper divisors (58441175755).

131483235753 is a wasteful number, since it uses less digits than its factorization.

131483235753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321704 (or 321701 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

It can be divided in two parts, 131483 and 235753, that added together give a square (367236 = 6062).

The spelling of 131483235753 in words is "one hundred thirty-one billion, four hundred eighty-three million, two hundred thirty-five thousand, seven hundred fifty-three".

Divisors: 1 3 9 54721 164163 266977 492489 800931 2402793 14609248417 43827745251 131483235753