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200313111011031 = 323743128310903603
BaseRepresentation
bin101101100010111100000111…
…110100110101111011010111
3222021020202011010020110021200
4231202330013310311323113
5202223412222404323111
61550010323421043543
760123100425100134
oct5542740764657327
9867222133213250
10200313111011031
115890a34a017257
121a5720336b65b3
1387a05a3489a85
1437672c614b58b
15182590c7cc256
hexb62f07d35ed7

200313111011031 has 48 divisors (see below), whose sum is σ = 304308945722496. Its totient is φ = 126812205955008.

The previous prime is 200313111011029. The next prime is 200313111011053. The reversal of 200313111011031 is 130110111313002.

200313111011031 is a `hidden beast` number, since 200 + 3 + 1 + 311 + 10 + 110 + 31 = 666.

It is not a de Polignac number, because 200313111011031 - 21 = 200313111011029 is a prime.

It is a super-2 number, since 2×2003131110110312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200313111010995 and 200313111011013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200313111011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12919476 + ... + 23823078.

It is an arithmetic number, because the mean of its divisors is an integer number (6339769702552).

Almost surely, 2200313111011031 is an apocalyptic number.

200313111011031 is a deficient number, since it is larger than the sum of its proper divisors (103995834711465).

200313111011031 is a wasteful number, since it uses less digits than its factorization.

200313111011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904972 (or 10904969 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 200313111011031 its reverse (130110111313002), we get a palindrome (330423222324033).

The spelling of 200313111011031 in words is "two hundred trillion, three hundred thirteen billion, one hundred eleven million, eleven thousand, thirty-one".

Divisors: 1 3 9 37 43 111 129 333 387 1283 1591 3849 4773 11547 14319 47471 55169 142413 165507 427239 496521 2041253 6123759 10903603 18371277 32710809 98132427 403433311 468854929 1210299933 1406564787 3630899799 4219694361 13989322649 17347632373 41967967947 52042897119 125903903841 156128691357 517604938013 601540873907 1552814814039 1804622621721 4658444442117 5413867865163 22257012334559 66771037003677 200313111011031