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231312310020 = 2232511313768529
BaseRepresentation
bin1101011101101101001…
…0011011111100000100
3211010001112220211210100
43113123102123330010
512242211422410040
6254132521324100
722466064123411
oct3273322337404
9733045824710
10231312310020
118a10a850170
12389b6036630
1318a7453c37c
14b2a4933108
15603c3c0b30
hex35db49bf04

231312310020 has 144 divisors (see below), whose sum is σ = 790125073920. Its totient is φ = 54266803200.

The previous prime is 231312310003. The next prime is 231312310067. The reversal of 231312310020 is 20013213132.

231312310020 is a `hidden beast` number, since 23 + 1 + 312 + 310 + 0 + 20 = 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 = 231312309975 and 231312310002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1822885 + ... + 1945644.

It is an arithmetic number, because the mean of its divisors is an integer number (5486979680).

Almost surely, 2231312310020 is an apocalyptic number.

231312310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231312310020 is an abundant number, since it is smaller than the sum of its proper divisors (558812763900).

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

231312310020 is a wasteful number, since it uses less digits than its factorization.

231312310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768586 (or 3768581 counting only the distinct ones).

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

Adding to 231312310020 its reverse (20013213132), we get a palindrome (251325523152).

The spelling of 231312310020 in words is "two hundred thirty-one billion, three hundred twelve million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 3768529 7537058 11305587 15074116 18842645 22611174 33916761 37685290 41453819 45222348 56527935 67833522 75370580 82907638 113055870 116824399 124361457 135667044 165815276 169583805 207269095 226111740 233648798 248722914 339167610 350473197 373084371 414538190 467297596 497445828 584121995 621807285 678335220 700946394 746168742 829076380 1051419591 1168243990 1243614570 1285068389 1401892788 1492337484 1752365985 1865421855 2102839182 2336487980 2487229140 2570136778 3504731970 3730843710 3855205167 4205678364 5140273556 5257097955 6425341945 7009463940 7461687420 7710410334 10514195910 11565615501 12850683890 15420820668 19276025835 21028391820 23131231002 25701367780 38552051670 46262462004 57828077505 77104103340 115656155010 231312310020