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200210202010013 = 13535940912041807
BaseRepresentation
bin101101100001011100010001…
…111110001010000110011101
3222020212220112012210112211112
4231201130101332022012131
5202220220443203310023
61545451144100031405
760112465306032116
oct5541342176120635
9866786465715745
10200210202010013
115887a740624688
121a5560b3692565
1387939830a7670
143762322a1120d
151822dd7ec6478
hexb61711f8a19d

200210202010013 has 32 divisors (see below), whose sum is σ = 223948728460800. Its totient is φ = 177813353442816.

The previous prime is 200210202009991. The next prime is 200210202010057. The reversal of 200210202010013 is 310010202012002.

It is a happy number.

200210202010013 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 200210202010013 - 26 = 200210202009949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200210202010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210202010073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10605356 + ... + 22647162.

It is an arithmetic number, because the mean of its divisors is an integer number (6998397764400).

Almost surely, 2200210202010013 is an apocalyptic number.

It is an amenable number.

200210202010013 is a deficient number, since it is larger than the sum of its proper divisors (23738526450787).

200210202010013 is a wasteful number, since it uses less digits than its factorization.

200210202010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12042341.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 200210202010013 its reverse (310010202012002), we get a palindrome (510220404022015).

The spelling of 200210202010013 in words is "two hundred trillion, two hundred ten billion, two hundred two million, ten thousand, thirteen".

Divisors: 1 13 53 59 409 689 767 3127 5317 21677 24131 40651 281801 313703 1278943 12041807 16626259 156543491 638215771 710466613 4925099063 8296805023 9236065969 37654730489 64026287819 261030250339 290580844717 489511496357 3393393254407 3777550981321 15400784770001 200210202010013