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23110120 = 2351153991
BaseRepresentation
bin101100000101…
…0000111101000
31121111010010101
41120022013220
521404010440
62143155144
7400301305
oct130120750
947433111
1023110120
1112054a80
1278a5ab4
134a31c37
1430d80ac
15206769a
hex160a1e8

23110120 has 64 divisors (see below), whose sum is σ = 57853440. Its totient is φ = 8236800.

The previous prime is 23110111. The next prime is 23110133. The reversal of 23110120 is 2101132.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 23110097 and 23110106.

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, 22825 + ... + 23815.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 223110120 is an apocalyptic number.

23110120 is a gapful number since it is divisible by the number (20) 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 23110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28926720).

23110120 is an abundant number, since it is smaller than the sum of its proper divisors (34743320).

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

23110120 is a wasteful number, since it uses less digits than its factorization.

23110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 23110120 is about 4807.2986177270. The cubic root of 23110120 is about 284.8398402478.

Adding to 23110120 its reverse (2101132), we get a palindrome (25211252).

The spelling of 23110120 in words is "twenty-three million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 991 1060 1166 1982 2120 2332 2915 3964 4664 4955 5830 7928 9910 10901 11660 19820 21802 23320 39640 43604 52523 54505 87208 105046 109010 210092 218020 262615 420184 436040 525230 577753 1050460 1155506 2100920 2311012 2888765 4622024 5777530 11555060 23110120