Search a number
-
+
2023231100220 = 22325111953780731
BaseRepresentation
bin11101011100010001111…
…110001001010100111100
321011102022110021000110100
4131130101332021110330
5231122034130201340
64145243132041100
7266113360412151
oct35342176112474
97142273230410
102023231100220
11710058235270
12288148003190
13118a36479515
146dcd3d38228
153796773b830
hex1d711f8953c

2023231100220 has 144 divisors (see below), whose sum is σ = 7047427121280. Its totient is φ = 464665507200.

The previous prime is 2023231100203. The next prime is 2023231100251. The reversal of 2023231100220 is 220011323202.

2023231100220 is a `hidden beast` number, since 20 + 2 + 323 + 1 + 100 + 220 = 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 = 2023231100193 and 2023231100202.

It is a congruent number.

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, 26852746 + ... + 26927985.

It is an arithmetic number, because the mean of its divisors is an integer number (48940466120).

Almost surely, 22023231100220 is an apocalyptic number.

2023231100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023231100220 is an abundant number, since it is smaller than the sum of its proper divisors (5024196021060).

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

2023231100220 is a wasteful number, since it uses less digits than its factorization.

2023231100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53780776 (or 53780771 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2023231100220 its reverse (220011323202), we get a palindrome (2243242423422).

The spelling of 2023231100220 in words is "two trillion, twenty-three billion, two hundred thirty-one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 53780731 107561462 161342193 215122924 268903655 322684386 484026579 537807310 591588041 645368772 806710965 968053158 1021833889 1075614620 1183176082 1613421930 1774764123 1936106316 2043667778 2366352164 2420132895 2957940205 3065501667 3226843860 3549528246 4087335556 4840265790 5109169445 5324292369 5915880410 6131003334 7099056492 8873820615 9196505001 9680531580 10218338890 10648584738 11240172779 11831760820 12262006668 15327508335 17747641230 18393010002 20436677780 21297169476 22480345558 26621461845 30655016670 33720518337 35495282460 36786020004 44960691116 45982525005 53242923690 56200863895 61310033340 67441036674 91965050010 101161555011 106485847380 112401727790 134882073348 168602591685 183930100020 202323110022 224803455580 337205183370 404646220044 505807775055 674410366740 1011615550110 2023231100220