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12157142157 = 3210757122109
BaseRepresentation
bin10110101001001111…
…10100010010001101
31011101020210210212100
423110213310102031
5144344212022112
65330201425313
7610160001066
oct132447642215
934336723770
1012157142157
115179431926
12243349b239
1311b9894554
1483484556d
154b24612dc
hex2d49f448d

12157142157 has 24 divisors (see below), whose sum is σ = 17756275680. Its totient is φ = 8014592160.

The previous prime is 12157142149. The next prime is 12157142159. The reversal of 12157142157 is 75124175121.

It is a happy number.

12157142157 is a `hidden beast` number, since 12 + 1 + 571 + 4 + 21 + 57 = 666.

12157142157 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 12157142157 - 23 = 12157142149 is a prime.

It is a super-2 number, since 2×121571421572 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157142159) 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 23 ways as a sum of consecutive naturals, for example, 538819 + ... + 560927.

It is an arithmetic number, because the mean of its divisors is an integer number (739844820).

Almost surely, 212157142157 is an apocalyptic number.

It is an amenable number.

12157142157 is a deficient number, since it is larger than the sum of its proper divisors (5599133523).

12157142157 is a wasteful number, since it uses less digits than its factorization.

12157142157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22793 (or 22790 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The spelling of 12157142157 in words is "twelve billion, one hundred fifty-seven million, one hundred forty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 107 321 571 963 1713 5139 22109 61097 66327 183291 198981 549873 2365663 7096989 12624239 21290967 37872717 113618151 1350793573 4052380719 12157142157