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12010311212031 = 3211529732290153
BaseRepresentation
bin1010111011000101111001…
…0101010101101111111111
31120112011201020102221120100
42232301132111111233333
53033234104132241111
641313243311052143
72346500464612116
oct256613625255777
946464636387510
1012010311212031
1139105a9631040
12141b818b11053
1369174ba02292
142d74331d2c7d
1515c6382a4756
hexaec5e555bff

12010311212031 has 24 divisors (see below), whose sum is σ = 18925704407376. Its totient is φ = 7278835904640.

The previous prime is 12010311211993. The next prime is 12010311212051. The reversal of 12010311212031 is 13021211301021.

12010311212031 is a `hidden beast` number, since 1 + 201 + 0 + 311 + 2 + 120 + 31 = 666.

It is not a de Polignac number, because 12010311212031 - 29 = 12010311211519 is a prime.

It is a super-2 number, since 2×120103112120312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12010311211995 and 12010311212013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010311212051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4099251 + ... + 6389403.

It is an arithmetic number, because the mean of its divisors is an integer number (788571016974).

Almost surely, 212010311212031 is an apocalyptic number.

12010311212031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12010311212031 is a deficient number, since it is larger than the sum of its proper divisors (6915393195345).

12010311212031 is a wasteful number, since it uses less digits than its factorization.

12010311212031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343143 (or 2343140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12010311212031 its reverse (13021211301021), we get a palindrome (25031522513052).

The spelling of 12010311212031 in words is "twelve trillion, ten billion, three hundred eleven million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 9 11 33 99 52973 158919 476757 582703 1748109 2290153 5244327 6870459 20611377 25191683 75575049 226725147 121316274869 363948824607 1091846473821 1334479023559 4003437070677 12010311212031