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12101132131 = 113135487191
BaseRepresentation
bin10110100010100100…
…01001111101100011
31011020100102012112221
423101102021331203
5144240342212011
65320441131511
7605606632414
oct132122117543
934210365487
1012101132131
11514a856750
122418789b97
1311ab0b371a
1482b22580b
154ac59a971
hex2d1489f63

12101132131 has 8 divisors (see below), whose sum is σ = 13627081728. Its totient is φ = 10646157000.

The previous prime is 12101132041. The next prime is 12101132143. The reversal of 12101132131 is 13123110121.

It is a happy number.

12101132131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12101132131 is a prime.

It is a super-2 number, since 2×121011321312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12101132161) 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 7 ways as a sum of consecutive naturals, for example, 17743255 + ... + 17743936.

It is an arithmetic number, because the mean of its divisors is an integer number (1703385216).

Almost surely, 212101132131 is an apocalyptic number.

12101132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101132131 is a deficient number, since it is larger than the sum of its proper divisors (1525949597).

12101132131 is a wasteful number, since it uses less digits than its factorization.

12101132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35487233.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12101132131 its reverse (13123110121), we get a palindrome (25224242252).

The spelling of 12101132131 in words is "twelve billion, one hundred one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 31 341 35487191 390359101 1100102921 12101132131