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12133120031 = 173719289539
BaseRepresentation
bin10110100110011000…
…01011100000011111
31011022120121100200222
423103030023200133
5144322034320111
65323542511555
7606445550534
oct132314134037
934276540628
1012133120031
11516691472a
1224274355bb
1311b4903486
14831590d8b
154b02b87db
hex2d330b81f

12133120031 has 8 divisors (see below), whose sum is σ = 13194045360. Its totient is φ = 11110773888.

The previous prime is 12133120019. The next prime is 12133120061. The reversal of 12133120031 is 13002133121.

12133120031 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 not a de Polignac number, because 12133120031 - 210 = 12133119007 is a prime.

It is a super-2 number, since 2×121331200312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12133119991 and 12133120009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133120061) 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, 9644141 + ... + 9645398.

It is an arithmetic number, because the mean of its divisors is an integer number (1649255670).

Almost surely, 212133120031 is an apocalyptic number.

12133120031 is a deficient number, since it is larger than the sum of its proper divisors (1060925329).

12133120031 is a wasteful number, since it uses less digits than its factorization.

12133120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19289593.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12133120031 its reverse (13002133121), we get a palindrome (25135253152).

The spelling of 12133120031 in words is "twelve billion, one hundred thirty-three million, one hundred twenty thousand, thirty-one".

Divisors: 1 17 37 629 19289539 327922163 713712943 12133120031