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231121320 = 233519167607
BaseRepresentation
bin11011100011010…
…10000110101000
3121002220011211220
431301222012220
5433131340240
634533422040
75504333043
oct1561520650
9532804756
10231121320
11109509961
126549a920
1338b627a1
14229a3c5a
15154555d0
hexdc6a1a8

231121320 has 128 divisors (see below), whose sum is σ = 735436800. Its totient is φ = 57943296.

The previous prime is 231121309. The next prime is 231121327. The reversal of 231121320 is 23121132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231121320.

It is not an unprimeable number, because it can be changed into a prime (231121327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 380457 + ... + 381063.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2231121320 is an apocalyptic number.

231121320 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 231121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367718400).

231121320 is an abundant number, since it is smaller than the sum of its proper divisors (504315480).

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

231121320 is a wasteful number, since it uses less digits than its factorization.

231121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 231121320 is about 15202.6747646590. The cubic root of 231121320 is about 613.6866413774.

Adding to 231121320 its reverse (23121132), we get a palindrome (254242452).

The spelling of 231121320 in words is "two hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 167 190 228 285 334 380 456 501 570 607 668 760 835 1002 1140 1214 1336 1670 1821 2004 2280 2428 2505 3035 3173 3340 3642 4008 4856 5010 6070 6346 6680 7284 9105 9519 10020 11533 12140 12692 14568 15865 18210 19038 20040 23066 24280 25384 31730 34599 36420 38076 46132 47595 57665 63460 69198 72840 76152 92264 95190 101369 115330 126920 138396 172995 190380 202738 230660 276792 304107 345990 380760 405476 461320 506845 608214 691980 810952 1013690 1216428 1383960 1520535 1926011 2027380 2432856 3041070 3852022 4054760 5778033 6082140 7704044 9630055 11556066 12164280 15408088 19260110 23112132 28890165 38520220 46224264 57780330 77040440 115560660 231121320