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200301122200113 = 32114188156012947
BaseRepresentation
bin101101100010110000111101…
…001111001010001000110001
3222021012121012121011202110200
4231202300331033022020301
5202223213144240400423
61550001022031145413
760122164350634464
oct5542607517121061
9867177177152420
10200301122200113
1158905257708160
121a56b848675269
13879c41274210c
1437668a9c032db
15182545a01bd43
hexb62c3d3ca231

200301122200113 has 48 divisors (see below), whose sum is σ = 323691208731072. Its totient is φ = 118299341952000.

The previous prime is 200301122200103. The next prime is 200301122200181. The reversal of 200301122200113 is 311002221103002.

200301122200113 is a `hidden beast` number, since 20 + 0 + 301 + 12 + 220 + 0 + 113 = 666.

It is not a de Polignac number, because 200301122200113 - 233 = 200292532265521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200301122200103) 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, 24430495 + ... + 31582452.

It is an arithmetic number, because the mean of its divisors is an integer number (6743566848564).

Almost surely, 2200301122200113 is an apocalyptic number.

It is an amenable number.

200301122200113 is a deficient number, since it is larger than the sum of its proper divisors (123390086530959).

200301122200113 is a wasteful number, since it uses less digits than its factorization.

200301122200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56013886 (or 56013883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200301122200113 its reverse (311002221103002), we get a palindrome (511303343303115).

The spelling of 200301122200113 in words is "two hundred trillion, three hundred one billion, one hundred twenty-two million, two hundred thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 41 99 123 369 451 881 1353 2643 4059 7929 9691 29073 36121 87219 108363 325089 397331 1191993 3575979 56012947 168038841 504116523 616142417 1848427251 2296530827 5545281753 6889592481 20668777443 25261839097 49347406307 75785517291 148042218921 227356551873 444126656763 542821469377 1628464408131 2023243658587 4885393224393 6069730975761 18209192927283 22255680244457 66767040733371 200301122200113