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200021012113 = 131710956914593
BaseRepresentation
bin1011101001001000101…
…1100110111010010001
3201010021210211012200211
42322102023212322101
511234120334341423
6231515520244121
720310464356546
oct2722213467221
9633253735624
10200021012113
117791271298a
1232922770641
1315b28798190
149976bd0bcd
15530a22510d
hex2e922e6e91

200021012113 has 32 divisors (see below), whose sum is σ = 230591037600. Its totient is φ = 171865276416.

The previous prime is 200021012101. The next prime is 200021012123. The reversal of 200021012113 is 311210120002.

200021012113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 96641400384 + 103379611729 = 310872^2 + 321527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200021012113 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200021012093 and 200021012102.

It is not an unprimeable number, because it can be changed into a prime (200021012123) 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, 13699345 + ... + 13713937.

It is an arithmetic number, because the mean of its divisors is an integer number (7205969925).

Almost surely, 2200021012113 is an apocalyptic number.

It is an amenable number.

200021012113 is a deficient number, since it is larger than the sum of its proper divisors (30570025487).

200021012113 is a wasteful number, since it uses less digits than its factorization.

200021012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15301.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 200021012113 its reverse (311210120002), we get a palindrome (511231132115).

The spelling of 200021012113 in words is "two hundred billion, twenty-one million, twelve thousand, one hundred thirteen".

Divisors: 1 13 17 109 221 569 1417 1853 7397 9673 14593 24089 62021 125749 189709 248081 806273 1054357 1590637 3225053 8303417 13706641 20678281 27040829 107944421 141158089 351530777 905072453 1835055157 11765941889 15386231701 200021012113