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1064106131 = 11167579263
BaseRepresentation
bin111111011011001…
…111100010010011
32202011022012012012
4333123033202103
54134402344011
6253331253135
735240516144
oct7733174223
92664265165
101064106131
114a6729760
1225844a1ab
1313c5c40ca
14a1477acb
1563645a8b
hex3f6cf893

1064106131 has 8 divisors (see below), whose sum is σ = 1167796224. Its totient is φ = 961574920.

The previous prime is 1064106101. The next prime is 1064106137. The reversal of 1064106131 is 1316014601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1064106131 - 26 = 1064106067 is a prime.

It is a super-2 number, since 2×10641061312 = 2264643716063578322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1064106097 and 1064106106.

It is not an unprimeable number, because it can be changed into a prime (1064106137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287795 + ... + 291468.

It is an arithmetic number, because the mean of its divisors is an integer number (145974528).

Almost surely, 21064106131 is an apocalyptic number.

1064106131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1064106131 is a deficient number, since it is larger than the sum of its proper divisors (103690093).

1064106131 is a wasteful number, since it uses less digits than its factorization.

1064106131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579441.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1064106131 is about 32620.6396473153. The cubic root of 1064106131 is about 1020.9276870293.

The spelling of 1064106131 in words is "one billion, sixty-four million, one hundred six thousand, one hundred thirty-one".

Divisors: 1 11 167 1837 579263 6371893 96736921 1064106131