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22200002120313 = 32195211151216493
BaseRepresentation
bin1010000110000110101110…
…01111011000101001111001
32220121022002022120202122100
411003003113033120221321
510402211101020322223
6115114312402414013
74450616514344433
oct503032717305171
986538068522570
1022200002120313
117089a71498046
1225a6613961309
13c505b342a3a4
1456a6b31c1653
152877165a6043
hex1430d73d8a79

22200002120313 has 48 divisors (see below), whose sum is σ = 33848715663360. Its totient is φ = 13981919328000.

The previous prime is 22200002120269. The next prime is 22200002120327. The reversal of 22200002120313 is 31302120000222.

It is not a de Polignac number, because 22200002120313 - 210 = 22200002119289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22200002120113) by changing a digit.

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, 102435495 + ... + 102651987.

It is an arithmetic number, because the mean of its divisors is an integer number (705181576320).

Almost surely, 222200002120313 is an apocalyptic number.

It is an amenable number.

22200002120313 is a deficient number, since it is larger than the sum of its proper divisors (11648713543047).

22200002120313 is a wasteful number, since it uses less digits than its factorization.

22200002120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218190 (or 218187 counting only the distinct ones).

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

Adding to 22200002120313 its reverse (31302120000222), we get a palindrome (53502122120535).

The spelling of 22200002120313 in words is "twenty-two trillion, two hundred billion, two million, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 19 57 171 521 1151 1563 3453 4689 9899 10359 21869 29697 65607 89091 196821 216493 599671 649479 1799013 1948437 4113367 5397039 11393749 12340101 34181247 37020303 102543741 112792853 249183443 338378559 747550329 1015135677 2143064207 2242650987 4734485417 6429192621 14203456251 19287577863 42610368753 129824573803 389473721409 1168421164227 2466666902257 7400000706771 22200002120313