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200000013213 = 37111366600071
BaseRepresentation
bin1011101001000011101…
…1100000001110011101
3201010020100022100121210
42322100323200032131
511234100000410323
6231513450215033
720310121030350
oct2722073401635
9633210270553
10200000013213
1177901880120
1232917724479
1315b243251b0
1499740c6297
155308478293
hex2e90ee039d

200000013213 has 32 divisors (see below), whose sum is σ = 358041987072. Its totient is φ = 95904100800.

The previous prime is 200000013209. The next prime is 200000013277. The reversal of 200000013213 is 312310000002.

It is a happy number.

200000013213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200000013213 - 22 = 200000013209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000013313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33297033 + ... + 33303038.

It is an arithmetic number, because the mean of its divisors is an integer number (11188812096).

Almost surely, 2200000013213 is an apocalyptic number.

It is an amenable number.

200000013213 is a deficient number, since it is larger than the sum of its proper divisors (158041973859).

200000013213 is a wasteful number, since it uses less digits than its factorization.

200000013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66600105.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 200000013213 its reverse (312310000002), we get a palindrome (512310013215).

The spelling of 200000013213 in words is "two hundred billion, thirteen thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 66600071 199800213 466200497 732600781 865800923 1398601491 2197802343 2597402769 5128205467 6060606461 9523810153 15384616401 18181819383 28571430459 66666671071 200000013213