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2123021141100 = 22325226960114591
BaseRepresentation
bin11110111001001101111…
…010111100010001101100
321111221212222211022221100
4132321031322330101230
5234240421403003400
64303145155003100
7306245304644016
oct36711572742154
97457788738840
102123021141100
117494060a5a32
122a3557599490
1312527a6258a2
1474a7d1431b6
153a358301100
hex1ee4debc46c

2123021141100 has 216 divisors, whose sum is σ = 6690801761280. Its totient is φ = 563057280000.

The previous prime is 2123021141077. The next prime is 2123021141107. The reversal of 2123021141100 is 11411203212.

2123021141100 is a `hidden beast` number, since 2 + 1 + 230 + 21 + 1 + 411 + 0 + 0 = 666.

It is a super-2 number, since 2×21230211411002 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2123021141107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145494805 + ... + 145509395.

It is an arithmetic number, because the mean of its divisors is an integer number (30975934080).

Almost surely, 22123021141100 is an apocalyptic number.

2123021141100 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 2123021141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345400880640).

2123021141100 is an abundant number, since it is smaller than the sum of its proper divisors (4567780620180).

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

2123021141100 is a wasteful number, since it uses less digits than its factorization.

2123021141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15481 (or 15471 counting only the distinct ones).

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

Adding to 2123021141100 its reverse (11411203212), we get a palindrome (2134432344312).

The spelling of 2123021141100 in words is "two trillion, one hundred twenty-three billion, twenty-one million, one hundred forty-one thousand, one hundred".