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243211322101400 = 235231691100956263
BaseRepresentation
bin110111010011001100001100…
…011101011000111010011000
31011220010202221012122101010022
4313103030030131120322120
5223334233241424221100
62221133423335210012
7102141303201015422
oct6723141435307230
91156122835571108
10243211322101400
1170549384902694
122333bb97816908
13a592963268893
14440b6c2a71812
151d1b74093ae85
hexdd330c758e98

243211322101400 has 192 divisors, whose sum is σ = 585141639014400. Its totient is φ = 93915230976000.

The previous prime is 243211322101337. The next prime is 243211322101427. The reversal of 243211322101400 is 4101223112342.

It is a happy number.

243211322101400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2432113221014002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243211322101400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4322729669 + ... + 4322785931.

It is an arithmetic number, because the mean of its divisors is an integer number (3047612703200).

Almost surely, 2243211322101400 is an apocalyptic number.

243211322101400 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 243211322101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292570819507200).

243211322101400 is an abundant number, since it is smaller than the sum of its proper divisors (341930316913000).

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

243211322101400 is a wasteful number, since it uses less digits than its factorization.

243211322101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58010 (or 58001 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 243211322101400 its reverse (4101223112342), we get a palindrome (247312545213742).

The spelling of 243211322101400 in words is "two hundred forty-three trillion, two hundred eleven billion, three hundred twenty-two million, one hundred one thousand, four hundred".