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231031320120 = 23345220732309
BaseRepresentation
bin1101011100101010001…
…0100010111000111000
3211002022222012002010000
43113022202202320320
512241123004220440
6254045002553000
722456112551026
oct3271242427070
9732288162100
10231031320120
1189a86180307
1238937b08760
1318a2b269263
14b2794ab716
1560228b9730
hex35ca8a2e38

231031320120 has 160 divisors (see below), whose sum is σ = 776897827200. Its totient is φ = 61578531072.

The previous prime is 231031320119. The next prime is 231031320167. The reversal of 231031320120 is 21023130132.

231031320120 is a `hidden beast` number, since 2 + 310 + 31 + 320 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231031320093 and 231031320102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7134526 + ... + 7166834.

It is an arithmetic number, because the mean of its divisors is an integer number (4855611420).

Almost surely, 2231031320120 is an apocalyptic number.

231031320120 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 231031320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388448913600).

231031320120 is an abundant number, since it is smaller than the sum of its proper divisors (545866507080).

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

231031320120 is a wasteful number, since it uses less digits than its factorization.

231031320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34539 (or 34526 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231031320120 its reverse (21023130132), we get a palindrome (252054450252).

The spelling of 231031320120 in words is "two hundred thirty-one billion, thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 2207 3240 4414 6621 8828 11035 13242 17656 19863 22070 26484 32309 33105 39726 44140 52968 59589 64618 66210 79452 88280 96927 99315 119178 129236 132420 158904 161545 178767 193854 198630 238356 258472 264840 290781 297945 323090 357534 387708 397260 476712 484635 581562 595890 646180 715068 775416 794520 872343 893835 969270 1163124 1191780 1292360 1430136 1453905 1744686 1787670 1938540 2326248 2383560 2617029 2907810 3489372 3575340 3877080 4361715 5234058 5815620 6978744 7150680 8723430 10468116 11631240 13085145 17446860 20936232 26170290 34893720 52340580 71305963 104681160 142611926 213917889 285223852 356529815 427835778 570447704 641753667 713059630 855671556 1069589445 1283507334 1426119260 1711343112 1925261001 2139178890 2567014668 2852238520 3208768335 3850522002 4278357780 5134029336 5775783003 6417536670 7701044004 8556715560 9626305005 11551566006 12835073340 15402088008 19252610010 23103132012 25670146680 28878915015 38505220020 46206264024 57757830030 77010440040 115515660060 231031320120