Search a number
-
+
12031331310312 = 2331103454492721
BaseRepresentation
bin1010111100010100001100…
…1110101001101011101000
31120121011222011110120120220
42233011003032221223220
53034110131303412222
641331041200450040
72351143414525356
oct257050316515350
946534864416526
1012031331310312
113919505960a96
121423904619920
1369371b833162
142d8468b787d6
1515ce68871b5c
hexaf1433a9ae8

12031331310312 has 32 divisors (see below), whose sum is σ = 30105597905280. Its totient is φ = 4006807819520.

The previous prime is 12031331310301. The next prime is 12031331310329. The reversal of 12031331310312 is 21301313313021.

12031331310312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227219889 + ... + 227272832.

It is an arithmetic number, because the mean of its divisors is an integer number (940799934540).

Almost surely, 212031331310312 is an apocalyptic number.

12031331310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12031331310312 is an abundant number, since it is smaller than the sum of its proper divisors (18074266594968).

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

12031331310312 is a wasteful number, since it uses less digits than its factorization.

12031331310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454493833 (or 454493829 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12031331310312 its reverse (21301313313021), we get a palindrome (33332644623333).

The spelling of 12031331310312 in words is "twelve trillion, thirty-one billion, three hundred thirty-one million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 1103 2206 3309 4412 6618 8824 13236 26472 454492721 908985442 1363478163 1817970884 2726956326 3635941768 5453912652 10907825304 501305471263 1002610942526 1503916413789 2005221885052 3007832827578 4010443770104 6015665655156 12031331310312