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120110020 = 22519794001
BaseRepresentation
bin1110010100010…
…11101111000100
322101000012222021
413022023233010
5221222010040
615530212524
72655626662
oct712135704
9271005867
10120110020
1161887488
1234284144
131bb65024
1411d47c32
15a82824a
hex728bbc4

120110020 has 48 divisors (see below), whose sum is σ = 268934400. Its totient is φ = 44928000.

The previous prime is 120109991. The next prime is 120110057. The reversal of 120110020 is 20011021.

It is a junction number, because it is equal to n+sod(n) for n = 120109985 and 120110012.

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, 28020 + ... + 32020.

It is an arithmetic number, because the mean of its divisors is an integer number (5602800).

Almost surely, 2120110020 is an apocalyptic number.

120110020 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 120110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134467200).

120110020 is an abundant number, since it is smaller than the sum of its proper divisors (148824380).

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

120110020 is a wasteful number, since it uses less digits than its factorization.

120110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4106 counting only the distinct ones).

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

The square root of 120110020 is about 10959.4717025959. The cubic root of 120110020 is about 493.3931091841.

Adding to 120110020 its reverse (20011021), we get a palindrome (140121041).

The spelling of 120110020 in words is "one hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 380 395 790 1501 1580 3002 4001 6004 7505 8002 15010 16004 20005 30020 40010 76019 80020 152038 304076 316079 380095 632158 760190 1264316 1520380 1580395 3160790 6005501 6321580 12011002 24022004 30027505 60055010 120110020