Search a number
-
+
12331311312 = 243256902319
BaseRepresentation
bin10110111110000000…
…01110000011010000
31011211101112112000210
423133000032003100
5200223303430222
65355342444120
7614403262635
oct133700160320
934741475023
1012331311312
115258781781
122481893640
1312169a6418
1484da2218c
154c28b6d0c
hex2df00e0d0

12331311312 has 20 divisors (see below), whose sum is σ = 31855887680. Its totient is φ = 4110437088.

The previous prime is 12331311269. The next prime is 12331311313. The reversal of 12331311312 is 21311313321.

It is a happy number.

It is a super-2 number, since 2×123313113122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331311313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128451112 + ... + 128451207.

It is an arithmetic number, because the mean of its divisors is an integer number (1592794384).

Almost surely, 212331311312 is an apocalyptic number.

12331311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12331311312 is an abundant number, since it is smaller than the sum of its proper divisors (19524576368).

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

12331311312 is a wasteful number, since it uses less digits than its factorization.

12331311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256902330 (or 256902324 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 12331311312 its reverse (21311313321), we get a palindrome (33642624633).

The spelling of 12331311312 in words is "twelve billion, three hundred thirty-one million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 256902319 513804638 770706957 1027609276 1541413914 2055218552 3082827828 4110437104 6165655656 12331311312