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200321000113 = 1342150971909
BaseRepresentation
bin1011101010010000001…
…1111110001010110001
3201011001201022011212111
42322210003332022301
511240224134000423
6232005354125321
720321066256253
oct2724403761261
9634051264774
10200321000113
1177a56a89353
12329a7120841
1315b75990680
1499a499dcd3
15532673060d
hex2ea40fe2b1

200321000113 has 16 divisors (see below), whose sum is σ = 216670582800. Its totient is φ = 184107490560.

The previous prime is 200321000111. The next prime is 200321000129. The reversal of 200321000113 is 311000123002.

200321000113 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 8 ways, for example, as 25088342449 + 175232657664 = 158393^2 + 418608^2 .

It is a cyclic number.

It is not a de Polignac number, because 200321000113 - 21 = 200321000111 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 = 200321000093 and 200321000102.

It is not an unprimeable number, because it can be changed into a prime (200321000111) 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 15 ways as a sum of consecutive naturals, for example, 2749803 + ... + 2821711.

It is an arithmetic number, because the mean of its divisors is an integer number (13541911425).

Almost surely, 2200321000113 is an apocalyptic number.

It is an amenable number.

200321000113 is a deficient number, since it is larger than the sum of its proper divisors (16349582687).

200321000113 is a wasteful number, since it uses less digits than its factorization.

200321000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72852.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 200321000113 its reverse (311000123002), we get a palindrome (511321123115).

The spelling of 200321000113 in words is "two hundred billion, three hundred twenty-one million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 13 421 509 5473 6617 71909 214289 934817 2785757 30273689 36601681 393557957 475821853 15409307701 200321000113