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211356653112 = 2332113137232663
BaseRepresentation
bin1100010011010111010…
…1101001011000111000
3202012112210211102211100
43010311311221120320
511430324300344422
6241032414331400
721161420623563
oct3046565513070
9665483742740
10211356653112
11816aa358830
1234b66ab9b60
1316c140bc067
14a3304b14da
1557704b37ac
hex3135d69638

211356653112 has 192 divisors, whose sum is σ = 662031452160. Its totient is φ = 60305990400.

The previous prime is 211356653059. The next prime is 211356653147.

211356653112 is a `hidden beast` number, since 2 + 113 + 5 + 6 + 6 + 531 + 1 + 2 = 666.

211356653112 is nontrivially palindromic in base 10.

211356653112 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792093 + ... + 1024755.

It is an arithmetic number, because the mean of its divisors is an integer number (3448080480).

Almost surely, 2211356653112 is an apocalyptic number.

211356653112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211356653112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331015726080).

211356653112 is an abundant number, since it is smaller than the sum of its proper divisors (450674799048).

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

211356653112 is a wasteful number, since it uses less digits than its factorization.

211356653112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232754 (or 232747 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 211356 and 653112, that added together give a palindrome (864468).

The spelling of 211356653112 in words is "two hundred eleven billion, three hundred fifty-six million, six hundred fifty-three thousand, one hundred twelve".