Search a number
-
+
2123032012200 = 23325211107223839
BaseRepresentation
bin11110111001001110100…
…100011010010110101000
321111221220202021122021200
4132321032210122112220
5234240432143342300
64303150224004200
7306245466232131
oct36711644322650
97457822248250
102123032012200
11749411250610
122a355b160660
1312527c960aa8
1474a80772c88
153a35924c200
hex1ee4e91a5a8

2123032012200 has 144 divisors (see below), whose sum is σ = 7778017353600. Its totient is φ = 514674422400.

The previous prime is 2123032012177. The next prime is 2123032012207. The reversal of 2123032012200 is 22102303212.

2123032012200 is a `hidden beast` number, since 2 + 123 + 0 + 320 + 1 + 220 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2123032012207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53592120 + ... + 53631719.

It is an arithmetic number, because the mean of its divisors is an integer number (54014009400).

Almost surely, 22123032012200 is an apocalyptic number.

2123032012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123032012200 is an abundant number, since it is smaller than the sum of its proper divisors (5654985341400).

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

2123032012200 is a wasteful number, since it uses less digits than its factorization.

2123032012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107223872 (or 107223860 counting only the distinct ones).

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

Adding to 2123032012200 its reverse (22102303212), we get a palindrome (2145134315412).

The spelling of 2123032012200 in words is "two trillion, one hundred twenty-three billion, thirty-two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 107223839 214447678 321671517 428895356 536119195 643343034 857790712 965014551 1072238390 1179462229 1286686068 1608357585 1930029102 2144476780 2358924458 2573372136 2680595975 3216715170 3538386687 3860058204 4288953560 4717848916 4825072755 5361191950 5897311145 6433430340 7076773374 7720116408 8041787925 9435697832 9650145510 10615160061 10722383900 11794622290 12866860680 14153546748 16083575850 17691933435 19300291020 21230320122 21444767800 23589244580 24125363775 28307093496 29486555725 32167151700 35383866870 38600582040 42460640244 47178489160 48250727550 53075800305 58973111450 64334303400 70767733740 84921280488 88459667175 96501455100 106151600610 117946222900 141535467480 176919334350 193002910200 212303201220 235892445800 265379001525 353838668700 424606402440 530758003050 707677337400 1061516006100 2123032012200