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231032010 = 235112361499
BaseRepresentation
bin11011100010101…
…00010011001010
3121002201122100010
431301110103022
5433121011020
634531452350
75503511466
oct1561242312
9532648303
10231032010
11109458850
12654570b6
1338b30c41
142297d4a6
1515438de0
hexdc544ca

231032010 has 128 divisors (see below), whose sum is σ = 642816000. Its totient is φ = 52588800.

The previous prime is 231031973. The next prime is 231032017. The reversal of 231032010 is 10230132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (231032017) 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 63 ways as a sum of consecutive naturals, for example, 462741 + ... + 463239.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2231032010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

231032010 is an abundant number, since it is smaller than the sum of its proper divisors (411783990).

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

231032010 is a wasteful number, since it uses less digits than its factorization.

231032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 231032010 is about 15199.7371687803. The cubic root of 231032010 is about 613.6075841746.

Adding to 231032010 its reverse (10230132), we get a palindrome (241262142).

The spelling of 231032010 in words is "two hundred thirty-one million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 61 66 69 110 115 122 138 165 183 230 253 305 330 345 366 499 506 610 671 690 759 915 998 1265 1342 1403 1497 1518 1830 2013 2495 2530 2806 2994 3355 3795 4026 4209 4990 5489 6710 7015 7485 7590 8418 10065 10978 11477 14030 14970 15433 16467 20130 21045 22954 27445 30439 30866 32934 34431 42090 46299 54890 57385 60878 68862 77165 82335 91317 92598 114770 126247 152195 154330 164670 172155 182634 231495 252494 304390 334829 344310 378741 456585 462990 631235 669658 700097 757482 913170 1004487 1262470 1400194 1674145 1893705 2008974 2100291 3348290 3500485 3787410 4200582 5022435 7000970 7701067 10044870 10501455 15402134 21002910 23103201 38505335 46206402 77010670 115516005 231032010