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200122120222002 = 2321137113241740679
BaseRepresentation
bin101101100000001010001111…
…111000110011010100110010
3222020120111011122101002212200
4231200022033320303110302
5202212300100234101002
61545342455521404030
760103226461136256
oct5540121770632462
9866514148332780
10200122120222002
1158846350768660
121a541011199616
1387885867c4584
14375bd6879c266
151820980253b1c
hexb6028fe33532

200122120222002 has 96 divisors (see below), whose sum is σ = 490099252855680. Its totient is φ = 58481904821760.

The previous prime is 200122120221979. The next prime is 200122120222103. The reversal of 200122120222002 is 200222021221002.

200122120222002 is a `hidden beast` number, since 20 + 0 + 1 + 221 + 202 + 220 + 0 + 2 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120042502 + ... + 121698177.

It is an arithmetic number, because the mean of its divisors is an integer number (5105200550580).

Almost surely, 2200122120222002 is an apocalyptic number.

200122120222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200122120222002 is an abundant number, since it is smaller than the sum of its proper divisors (289977132633678).

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

200122120222002 is a wasteful number, since it uses less digits than its factorization.

200122120222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241740848 (or 241740845 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200122120222002 its reverse (200222021221002), we get a palindrome (400344141443004).

The spelling of 200122120222002 in words is "two hundred trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 113 198 222 226 333 339 407 666 678 814 1017 1221 1243 2034 2442 2486 3663 3729 4181 7326 7458 8362 11187 12543 22374 25086 37629 45991 75258 91982 137973 275946 413919 827838 241740679 483481358 725222037 1450444074 2175666111 2659147469 4351332222 5318294938 7977442407 8944405123 15954884814 17888810246 23932327221 26833215369 27316696727 47864654442 53666430738 54633393454 80499646107 81950090181 98388456353 160999292214 163900180362 196776912706 245850270543 295165369059 300483663997 491700541086 590330738118 600967327994 885496107177 901450991991 1010717778899 1770992214354 1802901983982 2021435557798 2704352975973 3032153336697 5408705951946 6064306673394 9096460010091 11117895567889 18192920020182 22235791135778 33353686703667 66707373407334 100061060111001 200122120222002