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110220014443968 = 263311136161911813
BaseRepresentation
bin11001000011111010011000…
…110011101101110111000000
3112110020221010022112120021000
4121003322120303231313000
5103421321042144201333
61030230213044532000
732134063464446262
oct3103723063556700
9473227108476230
10110220014443968
11321350557a6380
12104414639b1000
134966919c84790
141d3096a1c7b32
15cb211ed07713
hex643e98ceddc0

110220014443968 has 896 divisors, whose sum is σ = 387572843750400. Its totient is φ = 30273796915200.

The previous prime is 110220014443967. The next prime is 110220014443969. The reversal of 110220014443968 is 869344410022011.

110220014443968 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 200 + 1 + 4 + 4 + 439 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (110220014443967) and next prime (110220014443969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110220014443967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9330394030 + ... + 9330405842.

It is an arithmetic number, because the mean of its divisors is an integer number (432558977400).

Almost surely, 2110220014443968 is an apocalyptic number.

110220014443968 is a gapful number since it is divisible by the number (18) 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 110220014443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193786421875200).

110220014443968 is an abundant number, since it is smaller than the sum of its proper divisors (277352829306432).

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

110220014443968 is a wasteful number, since it uses less digits than its factorization.

110220014443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12538 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

Adding to 110220014443968 its reverse (869344410022011), we get a palindrome (979564424465979).

The spelling of 110220014443968 in words is "one hundred ten trillion, two hundred twenty billion, fourteen million, four hundred forty-three thousand, nine hundred sixty-eight".