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200202122100123 = 321121353266821963
BaseRepresentation
bin101101100001010100110000…
…010111101111110110011011
3222020212010200010000121011200
4231201110300113233312123
5202220102421224200443
61545443330223325243
760112061134652403
oct5541246027576633
9866763603017150
10200202122100123
1158877274737800
121a554619750823
138792c961361b0
143761b978a5803
151822ab3993dd3
hexb615305efd9b

200202122100123 has 72 divisors (see below), whose sum is σ = 348769392871536. Its totient is φ = 109887956830080.

The previous prime is 200202122100119. The next prime is 200202122100283. The reversal of 200202122100123 is 321001221202002.

200202122100123 is a `hidden beast` number, since 200 + 20 + 212 + 210 + 0 + 1 + 23 = 666.

It is not a de Polignac number, because 200202122100123 - 22 = 200202122100119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200202122100096 and 200202122100105.

It is not an unprimeable number, because it can be changed into a prime (200202122120123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132660661 + ... + 134161302.

It is an arithmetic number, because the mean of its divisors is an integer number (4844019345438).

Almost surely, 2200202122100123 is an apocalyptic number.

200202122100123 is a deficient number, since it is larger than the sum of its proper divisors (148567270771413).

200202122100123 is a wasteful number, since it uses less digits than its factorization.

200202122100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266822057 (or 266822043 counting only the distinct ones).

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

Adding to 200202122100123 its reverse (321001221202002), we get a palindrome (521203343302125).

The spelling of 200202122100123 in words is "two hundred trillion, two hundred two billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-three".

Divisors: 1 3 9 11 13 33 39 53 99 117 121 143 159 363 429 477 583 689 1089 1287 1573 1749 2067 4719 5247 6201 6413 7579 14157 19239 22737 57717 68211 83369 250107 750321 266821963 800465889 2401397667 2935041593 3468685519 8805124779 10406056557 14141564039 26415374337 31218169671 32285457523 38155540709 42424692117 96856372569 114466622127 127274076351 155557204429 183840332507 290569117707 343399866381 419710947799 466671613287 551520997521 1259132843397 1400014839861 1654562992563 1711129248719 2022243657577 3777398530191 5133387746157 6066730972731 15400163238471 18200192918193 22244680233347 66734040700041 200202122100123