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231010405020 = 223253761568627
BaseRepresentation
bin1101011100100101001…
…0110000101010011100
3211002021111211110222200
43113021102300222130
512241102130430040
6254042534411500
722455440021043
oct3271122605234
9732244743880
10231010405020
1189a753954aa
1238930b00b90
1318a26b25465
14b2767c555a
156020b37630
hex35c94b0a9c

231010405020 has 144 divisors (see below), whose sum is σ = 731469412128. Its totient is φ = 58955143680.

The previous prime is 231010405013. The next prime is 231010405027. The reversal of 231010405020 is 20504010132.

231010405020 is a `hidden beast` number, since 23 + 101 + 0 + 40 + 502 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (231010405013) and next prime (231010405027).

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 = 231010404984 and 231010405002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231010405027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121947 + ... + 690573.

Almost surely, 2231010405020 is an apocalyptic number.

231010405020 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 231010405020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365734706064).

231010405020 is an abundant number, since it is smaller than the sum of its proper divisors (500459007108).

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

231010405020 is a wasteful number, since it uses less digits than its factorization.

231010405020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568740 (or 568735 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 231010405020 its reverse (20504010132), we get a palindrome (251514415152).

The spelling of 231010405020 in words is "two hundred thirty-one billion, ten million, four hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 61 74 90 111 122 148 180 183 185 222 244 305 333 366 370 444 549 555 610 666 732 740 915 1098 1110 1220 1332 1665 1830 2196 2220 2257 2745 3330 3660 4514 5490 6660 6771 9028 10980 11285 13542 20313 22570 27084 33855 40626 45140 67710 81252 101565 135420 203130 406260 568627 1137254 1705881 2274508 2843135 3411762 5117643 5686270 6823524 8529405 10235286 11372540 17058810 20470572 21039199 25588215 34117620 34686247 42078398 51176430 63117597 69372494 84156796 102352860 104058741 105195995 126235194 138744988 173431235 189352791 208117482 210391990 252470388 312176223 315587985 346862470 378705582 416234964 420783980 520293705 624352446 631175970 693724940 757411164 946763955 1040587410 1248704892 1262351940 1283391139 1560881115 1893527910 2081174820 2566782278 3121762230 3787055820 3850173417 5133564556 6243524460 6416955695 7700346834 11550520251 12833911390 15400693668 19250867085 23101040502 25667822780 38501734170 46202081004 57752601255 77003468340 115505202510 231010405020