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231234310120 = 235116743118199
BaseRepresentation
bin1101011101011010100…
…0111000111111101000
3211002212010011001001011
43113112220320333220
512242031440410440
6254121053433304
722464126130432
oct3272650707750
9732763131034
10231234310120
118a07a815740
1238993a9b834
1318a6132c498
14b29842b652
1560356149ea
hex35d6a38fe8

231234310120 has 128 divisors (see below), whose sum is σ = 577414656000. Its totient is φ = 82633478400.

The previous prime is 231234310103. The next prime is 231234310123. The reversal of 231234310120 is 21013432132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 231234310091 and 231234310100.

It is not an unprimeable number, because it can be changed into a prime (231234310123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12696781 + ... + 12714979.

It is an arithmetic number, because the mean of its divisors is an integer number (4511052000).

Almost surely, 2231234310120 is an apocalyptic number.

231234310120 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 231234310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328000).

231234310120 is an abundant number, since it is smaller than the sum of its proper divisors (346180345880).

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

231234310120 is a wasteful number, since it uses less digits than its factorization.

231234310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18719 (or 18715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 231234310120 its reverse (21013432132), we get a palindrome (252247742252).

The spelling of 231234310120 in words is "two hundred thirty-one billion, two hundred thirty-four million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 431 440 536 670 737 862 1340 1474 1724 2155 2680 2948 3448 3685 4310 4741 5896 7370 8620 9482 14740 17240 18199 18964 23705 28877 29480 36398 37928 47410 57754 72796 90995 94820 115508 144385 145592 181990 189640 200189 231016 288770 317647 363980 400378 577540 635294 727960 800756 1000945 1155080 1219333 1270588 1588235 1601512 2001890 2438666 2541176 3176470 4003780 4877332 6096665 6352940 7843769 8007560 9754664 12193330 12705880 13412663 15687538 24386660 26825326 31375076 39218845 48773320 53650652 62750152 67063315 78437690 86281459 107301304 134126630 156875380 172562918 268253260 313750760 345125836 431407295 525532523 536506520 690251672 862814590 1051065046 1725629180 2102130092 2627662615 3451258360 4204260184 5255325230 5780857753 10510650460 11561715506 21021300920 23123431012 28904288765 46246862024 57808577530 115617155060 231234310120