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2120332012200 = 2332523731836817
BaseRepresentation
bin11110110110101101101…
…000101110101010101000
321111200221120202102120200
4132312231220232222220
5234214414443342300
64302022253352200
7306121542506043
oct36665550565250
97450846672520
102120332012200
11748256164656
122a2b26a98660
13124c3c47735c
14748a5d3dc5a
153a24c1b7200
hex1edada2eaa8

2120332012200 has 144 divisors (see below), whose sum is σ = 7313235462780. Its totient is φ = 550140180480.

The previous prime is 2120332012189. The next prime is 2120332012229. The reversal of 2120332012200 is 22102330212.

2120332012200 is a `hidden beast` number, since 2 + 120 + 3 + 320 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 720525950244 + 1399806061956 = 848838^2 + 1183134^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15851809 + ... + 15985008.

Almost surely, 22120332012200 is an apocalyptic number.

2120332012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120332012200 is an abundant number, since it is smaller than the sum of its proper divisors (5192903450580).

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

2120332012200 is a wasteful number, since it uses less digits than its factorization.

2120332012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31836876 (or 31836864 counting only the distinct ones).

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

Adding to 2120332012200 its reverse (22102330212), we get a palindrome (2142434342412).

The spelling of 2120332012200 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 31836817 63673634 95510451 127347268 159184085 191020902 254694536 286531353 318368170 382041804 477552255 573062706 636736340 764083608 795920425 955104510 1146125412 1177962229 1273472680 1432656765 1591840850 1910209020 2292250824 2355924458 2387761275 2865313530 3183681700 3533886687 3820418040 4711848916 4775522550 5730627060 5889811145 6367363400 7067773374 7163283825 9423697832 9551045100 10601660061 11461254120 11779622290 14135546748 14326567650 17669433435 19102090200 21203320122 23559244580 28271093496 28653135300 29449055725 35338866870 42406640244 47118489160 53008300305 57306270600 58898111450 70677733740 84813280488 88347167175 106016600610 117796222900 141355467480 176694334350 212033201220 235592445800 265041501525 353388668700 424066402440 530083003050 706777337400 1060166006100 2120332012200