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231013120 = 2851313883
BaseRepresentation
bin11011100010011…
…11101100000000
3121002200200102111
431301033230000
5433114404440
634531225104
75503402432
oct1561175400
9532620374
10231013120
11109445638
1265448194
1338b25470
1422976652
15154334ea
hexdc4fb00

231013120 has 72 divisors (see below), whose sum is σ = 595956816. Its totient is φ = 85291008.

The previous prime is 231013103. The next prime is 231013199. The reversal of 231013120 is 21310132.

It is a super-2 number, since 2×2310131202 = 106734123224268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 231013120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9699 + ... + 23581.

It is an arithmetic number, because the mean of its divisors is an integer number (8277178).

Almost surely, 2231013120 is an apocalyptic number.

231013120 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 231013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297978408).

231013120 is an abundant number, since it is smaller than the sum of its proper divisors (364943696).

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

231013120 is a wasteful number, since it uses less digits than its factorization.

231013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13917 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 231013120 is about 15199.1157637542. The cubic root of 231013120 is about 613.5908601383.

Adding to 231013120 its reverse (21310132), we get a palindrome (252323252).

The spelling of 231013120 in words is "two hundred thirty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 13883 16640 27766 55532 69415 111064 138830 180479 222128 277660 360958 444256 555320 721916 888512 902395 1110640 1443832 1777024 1804790 2221280 2887664 3554048 3609580 4442560 5775328 7219160 8885120 11550656 14438320 17770240 23101312 28876640 46202624 57753280 115506560 231013120