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231362120 = 235111912753
BaseRepresentation
bin11011100101001…
…00111001001000
3121010100102011102
431302210321020
5433212041440
634542520532
75506355063
oct1562447110
9533312142
10231362120
11109663870
1265596148
1338c18282
1422a278da
15154a1b15
hexdca4e48

231362120 has 64 divisors (see below), whose sum is σ = 571069440. Its totient is φ = 83660800.

The previous prime is 231362101. The next prime is 231362137. The reversal of 231362120 is 21263132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231362092 and 231362101.

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 15 ways as a sum of consecutive naturals, for example, 82664 + ... + 85416.

It is an arithmetic number, because the mean of its divisors is an integer number (8922960).

Almost surely, 2231362120 is an apocalyptic number.

231362120 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 231362120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285534720).

231362120 is an abundant number, since it is smaller than the sum of its proper divisors (339707320).

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

231362120 is a wasteful number, since it uses less digits than its factorization.

231362120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 231362120 is about 15210.5923619036. The cubic root of 231362120 is about 613.8996960789.

The spelling of 231362120 in words is "two hundred thirty-one million, three hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 191 220 382 440 764 955 1528 1910 2101 2753 3820 4202 5506 7640 8404 10505 11012 13765 16808 21010 22024 27530 30283 42020 55060 60566 84040 110120 121132 151415 242264 302830 525823 605660 1051646 1211320 2103292 2629115 4206584 5258230 5784053 10516460 11568106 21032920 23136212 28920265 46272424 57840530 115681060 231362120