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110110010022120 = 2335926851990001
BaseRepresentation
bin11001000010010011111100…
…000010001001100011101000
3112102212102011220210221020210
4121002103330002021203220
5103413020300031201440
61030103501300221120
732123120460341163
oct3102237402114350
9472772156727223
10110110010022120
11320a2436106049
121042408369a7a0
134959438899cc4
141d294d25b2ada
15cae332639a80
hex6424fc0898e8

110110010022120 has 64 divisors (see below), whose sum is σ = 330330720133440. Its totient is φ = 29362608000000.

The previous prime is 110110010022079. The next prime is 110110010022149. The reversal of 110110010022120 is 21220010011011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110110010022096 and 110110010022105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110727120 + ... + 111717120.

It is an arithmetic number, because the mean of its divisors is an integer number (5161417502085).

Almost surely, 2110110010022120 is an apocalyptic number.

110110010022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110010022120 is an abundant number, since it is smaller than the sum of its proper divisors (220220710111320).

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

110110010022120 is a wasteful number, since it uses less digits than its factorization.

110110010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916866 (or 1916862 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110110010022120 its reverse (21220010011011), we get a palindrome (131330020033131).

The spelling of 110110010022120 in words is "one hundred ten trillion, one hundred ten billion, ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 926851 990001 1853702 1980002 2780553 2970003 3707404 3960004 4634255 4950005 5561106 5940006 7414808 7920008 9268510 9900010 11122212 11880012 13902765 14850015 18537020 19800020 22244424 23760024 27805530 29700030 37074040 39600040 55611060 59400060 111222120 118800120 917583416851 1835166833702 2752750250553 3670333667404 4587917084255 5505500501106 7340667334808 9175834168510 11011001002212 13763751252765 18351668337020 22022002004424 27527502505530 36703336674040 55055005011060 110110010022120