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110120002000 = 2453183130071
BaseRepresentation
bin110011010001110101…
…0011110000111010000
3101112020110012201011121
41212203222132013100
53301011210031000
6122331033452024
710645606400341
oct1464352360720
9345213181147
10110120002000
1142779963418
1219412b71014
13a4cc3249c8
1454891000c8
152ce78edb1a
hex19a3a9e1d0

110120002000 has 80 divisors (see below), whose sum is σ = 266424447744. Its totient is φ = 44022480000.

The previous prime is 110120001989. The next prime is 110120002019. The reversal of 110120002000 is 200021011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3646965 + ... + 3677035.

Almost surely, 2110120002000 is an apocalyptic number.

110120002000 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 110120002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133212223872).

110120002000 is an abundant number, since it is smaller than the sum of its proper divisors (156304445744).

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

110120002000 is a wasteful number, since it uses less digits than its factorization.

110120002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31925 (or 31909 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 110120002000 its reverse (200021011), we get a palindrome (110320023011).

The spelling of 110120002000 in words is "one hundred ten billion, one hundred twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1831 2000 3662 7324 9155 14648 18310 29296 30071 36620 45775 60142 73240 91550 120284 146480 150355 183100 228875 240568 300710 366200 457750 481136 601420 732400 751775 915500 1202840 1503550 1831000 2405680 3007100 3662000 3758875 6014200 7517750 12028400 15035500 30071000 55060001 60142000 110120002 220240004 275300005 440480008 550600010 880960016 1101200020 1376500025 2202400040 2753000050 4404800080 5506000100 6882500125 11012000200 13765000250 22024000400 27530000500 55060001000 110120002000