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12344301106236 = 22331137475975173
BaseRepresentation
bin1011001110100010000110…
…1011101011010000111100
31121201002210120100111121000
42303220201223223100330
53104222112040344421
642130521005410300
72412563201100111
oct263504153532074
947632716314530
1012344301106236
113a2a2091829a0
1214744a9569990
136b70a76b9908
14309678622908
151661849b8226
hexb3a21aeb43c

12344301106236 has 192 divisors, whose sum is σ = 36619690383360. Its totient is φ = 3562158539520.

The previous prime is 12344301106183. The next prime is 12344301106271. The reversal of 12344301106236 is 63260110344321.

12344301106236 is a `hidden beast` number, since 1 + 2 + 344 + 301 + 1 + 0 + 6 + 2 + 3 + 6 = 666.

12344301106236 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12344301106236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921655 + ... + 5053518.

It is an arithmetic number, because the mean of its divisors is an integer number (190727554080).

Almost surely, 212344301106236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344301106236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309845191680).

12344301106236 is an abundant number, since it is smaller than the sum of its proper divisors (24275389277124).

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

12344301106236 is a wasteful number, since it uses less digits than its factorization.

12344301106236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975281 (or 5975273 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 12344301106236 in words is "twelve trillion, three hundred forty-four billion, three hundred one million, one hundred six thousand, two hundred thirty-six".