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110313213222330 = 23351743679119157
BaseRepresentation
bin11001000101010001001011…
…111000110101110110111010
3112110120211200111111001101000
4121011101023320311312322
5103424332430041103310
61030341105054105430
732143603155134256
oct3105211370656672
9473524614431330
10110313213222330
1132170631005a48
1210457533aab276
134972650708501
141d3528bc73266
15cb4776de04c0
hex64544be35dba

110313213222330 has 512 divisors, whose sum is σ = 323863547166720. Its totient is φ = 26606814474240.

The previous prime is 110313213222299. The next prime is 110313213222349. The reversal of 110313213222330 is 33222312313011.

110313213222330 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 1 + 3 + 2 + 1 + 322 + 2 + 330 = 666.

It is a super-2 number, since 2×1103132132223302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110313213222294 and 110313213222303.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12046868112 + ... + 12046877268.

It is an arithmetic number, because the mean of its divisors is an integer number (632545990560).

Almost surely, 2110313213222330 is an apocalyptic number.

110313213222330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110313213222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161931773583360).

110313213222330 is an abundant number, since it is smaller than the sum of its proper divisors (213550333944390).

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

110313213222330 is a wasteful number, since it uses less digits than its factorization.

110313213222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 110313213222330 its reverse (33222312313011), we get a palindrome (143535525535341).

The spelling of 110313213222330 in words is "one hundred ten trillion, three hundred thirteen billion, two hundred thirteen million, two hundred twenty-two thousand, three hundred thirty".