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200022003013 = 71153121320431
BaseRepresentation
bin1011101001001000111…
…1011000110101000101
3201010021212200112221211
42322102033120311011
511234121113044023
6231515553411421
720310505654510
oct2722217306505
9633255615854
10200022003013
117791322a408
1232922b69b71
1315b28a54201
149976dabd77
15530a36da0d
hex2e923d8d45

200022003013 has 16 divisors (see below), whose sum is σ = 228994663936. Its totient is φ = 171149137920.

The previous prime is 200022002953. The next prime is 200022003023. The reversal of 200022003013 is 310300220002.

It is a happy number.

200022003013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 200022003013 - 29 = 200022002501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200022002984 and 200022003002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200022003023) 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, 9779908 + ... + 9800338.

It is an arithmetic number, because the mean of its divisors is an integer number (14312166496).

Almost surely, 2200022003013 is an apocalyptic number.

It is an amenable number.

200022003013 is a deficient number, since it is larger than the sum of its proper divisors (28972660923).

200022003013 is a wasteful number, since it uses less digits than its factorization.

200022003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22804.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 200022003013 its reverse (310300220002), we get a palindrome (510322223015).

The spelling of 200022003013 in words is "two hundred billion, twenty-two million, three thousand, thirteen".

Divisors: 1 7 1153 1213 8071 8491 20431 143017 1398589 9790123 23556943 24782803 164898601 173479621 28574571859 200022003013