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110213134351320 = 23357111371106312157
BaseRepresentation
bin11001000011110011111110…
…101110001111101111011000
3112110020021100211102122102210
4121003303332232033233120
5103421212444343220240
61030223114232355120
732133431132564160
oct3103637656175730
9473207324378383
10110213134351320
11321321450aa9a0
1210440063845aa0
134966091772540
141d304b65615a0
15cb1d6acc6780
hex643cfeb8fbd8

110213134351320 has 1024 divisors, whose sum is σ = 450648606965760. Its totient is φ = 20820719001600.

The previous prime is 110213134351303. The next prime is 110213134351399. The reversal of 110213134351320 is 23153431312011.

It is a super-2 number, since 2×1102131343513202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9065810682 + ... + 9065822838.

It is an arithmetic number, because the mean of its divisors is an integer number (440086530240).

Almost surely, 2110213134351320 is an apocalyptic number.

110213134351320 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 110213134351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225324303482880).

110213134351320 is an abundant number, since it is smaller than the sum of its proper divisors (340435472614440).

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

110213134351320 is a wasteful number, since it uses less digits than its factorization.

110213134351320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336 (or 13332 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 110213134351320 its reverse (23153431312011), we get a palindrome (133366565663331).

The spelling of 110213134351320 in words is "one hundred ten trillion, two hundred thirteen billion, one hundred thirty-four million, three hundred fifty-one thousand, three hundred twenty".