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110022001100000 = 2555117321372
BaseRepresentation
bin11001000001000001111110…
…010010110000010011100000
3112102120000000102111110111122
4121001001332102300103200
5103410100024240200000
61025555224243431412
732113553516006333
oct3101017622602340
9472500012443448
10110022001100000
1132069083398270
121040b001685568
13495105141a022
141d25143cca61a
15cabdd0eac085
hex64107e4b04e0

110022001100000 has 648 divisors, whose sum is σ = 301655762623656. Its totient is φ = 39171916800000.

The previous prime is 110022001099973. The next prime is 110022001100003. The reversal of 110022001100000 is 1100220011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022001100003) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 803080299932 + ... + 803080300068.

It is an arithmetic number, because the mean of its divisors is an integer number (465518152197).

Almost surely, 2110022001100000 is an apocalyptic number.

110022001100000 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 110022001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150827881311828).

110022001100000 is an abundant number, since it is smaller than the sum of its proper divisors (191633761523656).

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

110022001100000 is an frugal number, since it uses more digits than its factorization.

110022001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110022001100000 its reverse (1100220011), we get a palindrome (110023101320011).

110022001100000 divided by its reverse (1100220011) gives a 5-th power (100000 = 105).

It can be divided in two parts, 11002 and 2001100000, that added together give a palindrome (2001111002).

The spelling of 110022001100000 in words is "one hundred ten trillion, twenty-two billion, one million, one hundred thousand".