Search a number
-
+
2122012212300 = 2233521495274701
BaseRepresentation
bin11110111000010001110…
…010001011110001001100
321111212021200100102211000
4132320101302023301030
5234231340111243200
64302501114100300
7306211304124441
oct36702162136114
97455250312730
102122012212300
11748a38633882
122a331571a690
131251495b05b6
14749c514d9c8
153a2e9959300
hex1ee11c8bc4c

2122012212300 has 144 divisors (see below), whose sum is σ = 6867662004000. Its totient is φ = 562072032000.

The previous prime is 2122012212293. The next prime is 2122012212317. The reversal of 2122012212300 is 32122102212.

2122012212300 is a `hidden beast` number, since 2 + 12 + 201 + 221 + 230 + 0 = 666.

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

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, 2235051 + ... + 3039650.

It is an arithmetic number, because the mean of its divisors is an integer number (47692097250).

Almost surely, 22122012212300 is an apocalyptic number.

2122012212300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122012212300 is an abundant number, since it is smaller than the sum of its proper divisors (4745649791700).

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

2122012212300 is a wasteful number, since it uses less digits than its factorization.

2122012212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274873 (or 5274860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2122012212300 its reverse (32122102212), we get a palindrome (2154134314512).

The spelling of 2122012212300 in words is "two trillion, one hundred twenty-two billion, twelve million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 149 150 180 225 270 298 300 447 450 540 596 675 745 894 900 1341 1350 1490 1788 2235 2682 2700 2980 3725 4023 4470 5364 6705 7450 8046 8940 11175 13410 14900 16092 20115 22350 26820 33525 40230 44700 67050 80460 100575 134100 201150 402300 5274701 10549402 15824103 21098804 26373505 31648206 47472309 52747010 63296412 79120515 94944618 105494020 131867525 142416927 158241030 189889236 237361545 263735050 284833854 316482060 395602575 474723090 527470100 569667708 712084635 785930449 791205150 949446180 1186807725 1424169270 1571860898 1582410300 2357791347 2373615450 2848338540 3143721796 3560423175 3929652245 4715582694 4747230900 7073374041 7120846350 7859304490 9431165388 11788956735 14146748082 14241692700 15718608980 19648261225 21220122123 23577913470 28293496164 35366870205 39296522450 42440244246 47155826940 58944783675 70733740410 78593044900 84880488492 106100610615 117889567350 141467480820 176834351025 212201221230 235779134700 353668702050 424402442460 530503053075 707337404100 1061006106150 2122012212300