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110212122012320 = 2552367673809821
BaseRepresentation
bin11001000011110011000010…
…011000011110101010100000
3112110020011202021112111101202
4121003303002120132222200
5103421203411213343240
61030222425550420332
732133364061052416
oct3103630230365240
9473204667474352
10110212122012320
1132131775719699
121043ba208016a8
134965c5cb04c93
141d3041bd212b6
15cb1d0bea9315
hex643cc261eaa0

110212122012320 has 384 divisors, whose sum is σ = 276839902241280. Its totient is φ = 41375292456960.

The previous prime is 110212122012319. The next prime is 110212122012371. The reversal of 110212122012320 is 23210221212011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110212122012292 and 110212122012301.

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, 134241317510 + ... + 134241318330.

It is an arithmetic number, because the mean of its divisors is an integer number (720937245420).

Almost surely, 2110212122012320 is an apocalyptic number.

110212122012320 is a gapful number since it is divisible by the number (10) 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 110212122012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138419951120640).

110212122012320 is an abundant number, since it is smaller than the sum of its proper divisors (166627780228960).

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

110212122012320 is a wasteful number, since it uses less digits than its factorization.

110212122012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 110212122012320 its reverse (23210221212011), we get a palindrome (133422343224331).

The spelling of 110212122012320 in words is "one hundred ten trillion, two hundred twelve billion, one hundred twenty-two million, twelve thousand, three hundred twenty".