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110201012220120 = 23353524412605661
BaseRepresentation
bin11001000011101000101100…
…001011111111000011011000
3112110012010002000111120120120
4121003220230023333003120
5103421013133112020440
61030213351321153240
732132521546301613
oct3103505413770330
9473163060446516
10110201012220120
1132127a94511348
121043984002b820
134964bac218a43
141d2da8663117a
15cb18ab97ddd0
hex643a2c2ff0d8

110201012220120 has 64 divisors (see below), whose sum is σ = 330604101577440. Its totient is φ = 29386841932800.

The previous prime is 110201012220113. The next prime is 110201012220179. The reversal of 110201012220120 is 21022210102011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110201012220120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40990090 + ... + 43595750.

Almost surely, 2110201012220120 is an apocalyptic number.

110201012220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201012220120 is an abundant number, since it is smaller than the sum of its proper divisors (220403089357320).

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

110201012220120 is a wasteful number, since it uses less digits than its factorization.

110201012220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958116 (or 2958112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110201012220120 its reverse (21022210102011), we get a palindrome (131223222322131).

The spelling of 110201012220120 in words is "one hundred ten trillion, two hundred one billion, twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 352441 704882 1057323 1409764 1762205 2114646 2605661 2819528 3524410 4229292 5211322 5286615 7048820 7816983 8458584 10422644 10573230 13028305 14097640 15633966 20845288 21146460 26056610 31267932 39084915 42292920 52113220 62535864 78169830 104226440 156339660 312679320 918341768501 1836683537002 2755025305503 3673367074004 4591708842505 5510050611006 7346734148008 9183417685010 11020101222012 13775126527515 18366835370020 22040202444024 27550253055030 36733670740040 55100506110060 110201012220120