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130510379961 = 3213285805641
BaseRepresentation
bin111100110001100000…
…1100101101110111001
3110110212111022020022100
41321203001211232321
54114241124124321
6135542230214013
712300111632403
oct1714301455671
9413774266270
10130510379961
1150392786155
12213637b4309
13c3cb852400
1464611a3b73
1535dca7c326
hex1e63065bb9

130510379961 has 18 divisors (see below), whose sum is σ = 204131622318. Its totient is φ = 80314079040.

The previous prime is 130510379957. The next prime is 130510379977. The reversal of 130510379961 is 169973015031.

It is a happy number.

130510379961 is a `hidden beast` number, since 1 + 3 + 0 + 510 + 3 + 79 + 9 + 61 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10088193600 + 120422186361 = 100440^2 + 347019^2 .

It is not a de Polignac number, because 130510379961 - 22 = 130510379957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130510379911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42901300 + ... + 42904341.

Almost surely, 2130510379961 is an apocalyptic number.

It is an amenable number.

130510379961 is a deficient number, since it is larger than the sum of its proper divisors (73621242357).

130510379961 is a wasteful number, since it uses less digits than its factorization.

130510379961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85805673 (or 85805657 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 130510379961 in words is "one hundred thirty billion, five hundred ten million, three hundred seventy-nine thousand, nine hundred sixty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 85805641 257416923 772250769 1115473333 3346419999 10039259997 14501153329 43503459987 130510379961