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200213102213033 = 72131718488604877
BaseRepresentation
bin101101100001011110111110…
…110101100011011110101001
3222020220012000100001010110012
4231201132332311203132221
5202220242413131304113
61545452343541301305
760112630213246400
oct5541367665433651
9866805010033405
10200213102213033
1158880999722088
121a556782a04835
138794025bb9920
143762519c7a637
151823007905aa8
hexb617bed637a9

200213102213033 has 24 divisors (see below), whose sum is σ = 265570320467592. Its totient is φ = 149092109720064.

The previous prime is 200213102213017. The next prime is 200213102213039. The reversal of 200213102213033 is 330312201312002.

It can be written as a sum of positive squares in 4 ways, for example, as 847371798784 + 199365730414249 = 920528^2 + 14119693^2 .

It is not a de Polignac number, because 200213102213033 - 24 = 200213102213017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200213102213039) 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 23 ways as a sum of consecutive naturals, for example, 9244291610 + ... + 9244313267.

It is an arithmetic number, because the mean of its divisors is an integer number (11065430019483).

Almost surely, 2200213102213033 is an apocalyptic number.

It is an amenable number.

200213102213033 is a deficient number, since it is larger than the sum of its proper divisors (65357218254559).

200213102213033 is a wasteful number, since it uses less digits than its factorization.

200213102213033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18488604921 (or 18488604914 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 200213102213033 its reverse (330312201312002), we get a palindrome (530525303525035).

The spelling of 200213102213033 in words is "two hundred trillion, two hundred thirteen billion, one hundred two million, two hundred thirteen thousand, thirty-three".

Divisors: 1 7 13 17 49 91 119 221 637 833 1547 10829 18488604877 129420234139 240351863401 314306282909 905941638973 1682463043807 2200143980363 4085981677817 11777241306649 15401007862541 28601871744719 200213102213033