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130032865 = 51997103137
BaseRepresentation
bin1111100000000…
…10010011100001
3100001200100120001
413300002103201
5231242022430
620523020001
73136155364
oct760022341
9301610501
10130032865
1167444686
123766a601
1320c2a731
14133ac0db
15b6383ca
hex7c024e1

130032865 has 32 divisors (see below), whose sum is σ = 168779520. Its totient is φ = 95883264.

The previous prime is 130032811. The next prime is 130032883. The reversal of 130032865 is 568230031.

It is a 3-Lehmer number, since φ(130032865) divides (130032865-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 130032865 - 215 = 130000097 is a prime.

It is a super-3 number, since 3×1300328653 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949077 + ... + 949213.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

It is a Poulet number, since it divides 2130032864-1.

Almost surely, 2130032865 is an apocalyptic number.

It is an amenable number.

130032865 is a deficient number, since it is larger than the sum of its proper divisors (38746655).

130032865 is a wasteful number, since it uses less digits than its factorization.

130032865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 130032865 is about 11403.1953855049. The cubic root of 130032865 is about 506.6223873950.

Adding to 130032865 its reverse (568230031), we get a palindrome (698262896).

The spelling of 130032865 in words is "one hundred thirty million, thirty-two thousand, eight hundred sixty-five".

Divisors: 1 5 19 95 97 103 137 485 515 685 1843 1957 2603 9215 9785 9991 13015 13289 14111 49955 66445 70555 189829 252491 268109 949145 1262455 1340545 1368767 6843835 26006573 130032865