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130968027 = 32137106219
BaseRepresentation
bin1111100111001…
…10100111011011
3100010102212100200
413303212213123
5232011434102
620555033243
73150131661
oct763464733
9303385320
10130968027
1167a23243
1237a3b823
1321197298
1413572c31
15b77051c
hex7ce69db

130968027 has 12 divisors (see below), whose sum is σ = 190558680. Its totient is φ = 86673888.

The previous prime is 130968011. The next prime is 130968041. The reversal of 130968027 is 720869031.

It is not a de Polignac number, because 130968027 - 24 = 130968011 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 130967982 and 130968000.

It is not an unprimeable number, because it can be changed into a prime (130968427) 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, 51877 + ... + 54342.

It is an arithmetic number, because the mean of its divisors is an integer number (15879890).

Almost surely, 2130968027 is an apocalyptic number.

130968027 is a deficient number, since it is larger than the sum of its proper divisors (59590653).

130968027 is a wasteful number, since it uses less digits than its factorization.

130968027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106362 (or 106359 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130968027 is about 11444.1263100335. The cubic root of 130968027 is about 507.8339856288.

The spelling of 130968027 in words is "one hundred thirty million, nine hundred sixty-eight thousand, twenty-seven".

Divisors: 1 3 9 137 411 1233 106219 318657 955971 14552003 43656009 130968027