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242211113100000 = 2532551137661237
BaseRepresentation
bin110111000100101000101011…
…010110110110001011100000
31011202121011012220221120121200
4313010220223112312023200
5223221341324423200000
62215050125501121200
7102006114114542022
oct6704505326661340
91152534186846550
10242211113100000
11701a3179a06970
12231ba177859200
13a51c5438b3895
1443b511a982012
151d00700b8d500
hexdc4a2b5b62e0

242211113100000 has 864 divisors, whose sum is σ = 964581186415392. Its totient is φ = 57130790400000.

The previous prime is 242211113099953. The next prime is 242211113100109. The reversal of 242211113100000 is 1311112242.

242211113100000 is a `hidden beast` number, since 2 + 422 + 111 + 131 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2422111131000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365969382 + ... + 366630618.

It is an arithmetic number, because the mean of its divisors is an integer number (1116413410203).

Almost surely, 2242211113100000 is an apocalyptic number.

242211113100000 is a gapful number since it is divisible by the number (20) 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 242211113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482290593207696).

242211113100000 is an abundant number, since it is smaller than the sum of its proper divisors (722370073315392).

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

242211113100000 is a wasteful number, since it uses less digits than its factorization.

242211113100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661326 (or 661295 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 242211113100000 its reverse (1311112242), we get a palindrome (242212424212242).

The spelling of 242211113100000 in words is "two hundred forty-two trillion, two hundred eleven billion, one hundred thirteen million, one hundred thousand".