Search a number
-
+
12202300300013 = 173131174451029
BaseRepresentation
bin1011000110010001000111…
…0001100101101011101101
31121012112021021210010200122
42301210101301211223231
53044410302334100023
641541354231334325
72366405243130365
oct261442161455355
947175237703618
1012202300300013
113984a6a45149a
121450a798213a5
136a689745a615
143028473a99a5
151626232c52c8
hexb1911c65aed

12202300300013 has 16 divisors (see below), whose sum is σ = 13379743503360. Its totient is φ = 11078312966400.

The previous prime is 12202300299971. The next prime is 12202300300079. The reversal of 12202300300013 is 31000300320221.

12202300300013 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 12202300300013 - 212 = 12202300295917 is a prime.

It is a super-2 number, since 2×122023003000132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12202300299964 and 12202300300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202300300513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37061618 + ... + 37389411.

It is an arithmetic number, because the mean of its divisors is an integer number (836233968960).

Almost surely, 212202300300013 is an apocalyptic number.

It is an amenable number.

12202300300013 is a deficient number, since it is larger than the sum of its proper divisors (1177443203347).

12202300300013 is a wasteful number, since it uses less digits than its factorization.

12202300300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74451388.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12202300300013 its reverse (31000300320221), we get a palindrome (43202600620234).

The spelling of 12202300300013 in words is "twelve trillion, two hundred two billion, three hundred million, three hundred thousand, thirteen".

Divisors: 1 17 31 311 527 5287 9641 163897 74451029 1265667493 2307981899 23154270019 39235692283 393622590323 717782370589 12202300300013