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200200022113 = 72131718487397
BaseRepresentation
bin1011101001110011011…
…0011110100001100001
3201010202021122212020211
42322130312132201201
511240002201201423
6231545353134121
720315100052600
oct2723466364141
9633667585224
10200200022113
11779a4769833
12329726ba341
1315b568b3560
1499928aba37
15531acd510d
hex2e9cd9e861

200200022113 has 24 divisors (see below), whose sum is σ = 265552984872. Its totient is φ = 149082361344.

The previous prime is 200200022107. The next prime is 200200022117. The reversal of 200200022113 is 311220002002.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 200196289489 = 1932^2 + 447433^2 .

It is not a de Polignac number, because 200200022113 - 213 = 200200013921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 200200022093 and 200200022102.

It is not an unprimeable number, because it can be changed into a prime (200200022117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9232870 + ... + 9254527.

It is an arithmetic number, because the mean of its divisors is an integer number (11064707703).

Almost surely, 2200200022113 is an apocalyptic number.

It is an amenable number.

200200022113 is a deficient number, since it is larger than the sum of its proper divisors (65352962759).

200200022113 is a wasteful number, since it uses less digits than its factorization.

200200022113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18487441 (or 18487434 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 200200022113 its reverse (311220002002), we get a palindrome (511420024115).

The spelling of 200200022113 in words is "two hundred billion, two hundred million, twenty-two thousand, one hundred thirteen".

Divisors: 1 7 13 17 49 91 119 221 637 833 1547 10829 18487397 129411779 240336161 314285749 905882453 1682353127 2200000243 4085714737 11776471889 15400001701 28600003159 200200022113