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12164160151 = 111326543389
BaseRepresentation
bin10110101010000101…
…00101101010010111
31011101202000100202001
423111002211222113
5144403011111101
65331012100131
7610303440523
oct132502455227
934352010661
1012164160151
115182395620
122435904647
1311bb180a00
14835750d83
154b2d9a901
hex2d50a5a97

12164160151 has 12 divisors (see below), whose sum is σ = 14369284440. Its totient is φ = 10207685280.

The previous prime is 12164160149. The next prime is 12164160157. The reversal of 12164160151 is 15106146121.

12164160151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12164160151 - 21 = 12164160149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164160157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3269836 + ... + 3273553.

It is an arithmetic number, because the mean of its divisors is an integer number (1197440370).

Almost surely, 212164160151 is an apocalyptic number.

12164160151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12164160151 is a deficient number, since it is larger than the sum of its proper divisors (2205124289).

12164160151 is a wasteful number, since it uses less digits than its factorization.

12164160151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543426 (or 6543413 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 12164160151 in words is "twelve billion, one hundred sixty-four million, one hundred sixty thousand, one hundred fifty-one".

Divisors: 1 11 13 143 169 1859 6543389 71977279 85064057 935704627 1105832741 12164160151