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231010120 = 235111633221
BaseRepresentation
bin11011100010011…
…10111101001000
3121002200112022101
431301032331020
5433114310440
634531203144
75503360615
oct1561167510
9532615271
10231010120
11109443360
12654464b4
1338b23ca3
142297550c
151543269a
hexdc4ef48

231010120 has 64 divisors (see below), whose sum is σ = 570680640. Its totient is φ = 83462400.

The previous prime is 231010103. The next prime is 231010223. The reversal of 231010120 is 21010132.

231010120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2310101203 (a number of 26 digits) contains 333 as substring.

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 = 231010097 and 231010106.

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, 70110 + ... + 73330.

It is an arithmetic number, because the mean of its divisors is an integer number (8916885).

Almost surely, 2231010120 is an apocalyptic number.

231010120 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 231010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285340320).

231010120 is an abundant number, since it is smaller than the sum of its proper divisors (339670520).

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

231010120 is a wasteful number, since it uses less digits than its factorization.

231010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3402 counting only the distinct ones).

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

The square root of 231010120 is about 15199.0170734821. The cubic root of 231010120 is about 613.5882040402.

Adding to 231010120 its product of nonzero digits (12), we get a palindrome (231010132).

Adding to 231010120 its reverse (21010132), we get a palindrome (252020252).

The spelling of 231010120 in words is "two hundred thirty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1793 3221 3260 3586 6442 6520 7172 8965 12884 14344 16105 17930 25768 32210 35431 35860 64420 70862 71720 128840 141724 177155 283448 354310 525023 708620 1050046 1417240 2100092 2625115 4200184 5250230 5775253 10500460 11550506 21000920 23101012 28876265 46202024 57752530 115505060 231010120