Search a number
-
+
12031033122 = 2322157730977
BaseRepresentation
bin10110011010001101…
…01111111100100010
31011001110111210210100
423031012233330202
5144114421024442
65305454443230
7604066044213
oct131506577442
934043453710
1012031033122
115114228289
1223b9203516
13119970bb14
14821bb940a
154a635084c
hex2cd1aff22

12031033122 has 24 divisors (see below), whose sum is σ = 26069288076. Its totient is φ = 4010029056.

The previous prime is 12031033121. The next prime is 12031033139. The reversal of 12031033122 is 22133013021.

12031033122 is a `hidden beast` number, since 1 + 2 + 0 + 310 + 331 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8406872721 + 3624160401 = 91689^2 + 60201^2 .

It is a super-2 number, since 2×120310331222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12031033095 and 12031033104.

It is not an unprimeable number, because it can be changed into a prime (12031033121) 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 11 ways as a sum of consecutive naturals, for example, 372898 + ... + 403874.

Almost surely, 212031033122 is an apocalyptic number.

12031033122 is an abundant number, since it is smaller than the sum of its proper divisors (14038254954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12031033122 is a wasteful number, since it uses less digits than its factorization.

12031033122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52562 (or 52559 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12031033122 its reverse (22133013021), we get a palindrome (34164046143).

The spelling of 12031033122 in words is "twelve billion, thirty-one million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 21577 30977 43154 61954 64731 92931 129462 185862 194193 278793 388386 557586 668390729 1336781458 2005172187 4010344374 6015516561 12031033122