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12031333100334 = 2331006122145161
BaseRepresentation
bin1010111100010100001101…
…0101011110101100101110
31120121011222021211112001000
42233011003111132230232
53034110132233202314
641331041303101130
72351143435662162
oct257050325365456
946534867745030
1012031333100334
113919506973949
1214239051417a6
1369371c00bb42
142d84690c2ca2
1515ce68ac7209
hexaf14355eb2e

12031333100334 has 32 divisors (see below), whose sum is σ = 26738954405280. Its totient is φ = 4010045572800.

The previous prime is 12031333100327. The next prime is 12031333100341. The reversal of 12031333100334 is 43300133313021.

12031333100334 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 13 + 3 + 310 + 0 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (12031333100327) and next prime (12031333100341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12031333100298 and 12031333100307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10529287 + ... + 11615874.

It is an arithmetic number, because the mean of its divisors is an integer number (835592325165).

Almost surely, 212031333100334 is an apocalyptic number.

12031333100334 is an abundant number, since it is smaller than the sum of its proper divisors (14707621304946).

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

12031333100334 is a wasteful number, since it uses less digits than its factorization.

12031333100334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22155233 (or 22155227 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12031333100334 its reverse (43300133313021), we get a palindrome (55331466413355).

The spelling of 12031333100334 in words is "twelve trillion, thirty-one billion, three hundred thirty-three million, one hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 10061 20122 30183 60366 90549 181098 271647 543294 22145161 44290322 66435483 132870966 199306449 398612898 597919347 1195838694 222802464821 445604929642 668407394463 1336814788926 2005222183389 4010444366778 6015666550167 12031333100334