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13002220122311 = 717613178242013
BaseRepresentation
bin1011110100110101000010…
…1101100011000011000111
31201001000000002001102112202
42331031100231203003013
53201012021322403221
643353045405305115
72511244064336240
oct275152055430307
951030002042482
1013002220122311
114163235323522
12155bb0126519b
13734147913a64
1432d44cc1dcc7
1517833e52ad0b
hexbd350b630c7

13002220122311 has 16 divisors (see below), whose sum is σ = 15759445909824. Its totient is φ = 10472074689024.

The previous prime is 13002220122299. The next prime is 13002220122323. The reversal of 13002220122311 is 11322102220031.

13002220122311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13002220122299) and next prime (13002220122323).

It is not a de Polignac number, because 13002220122311 - 230 = 13001146380487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002220122811) 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, 89048060 + ... + 89193953.

It is an arithmetic number, because the mean of its divisors is an integer number (984965369364).

Almost surely, 213002220122311 is an apocalyptic number.

13002220122311 is a deficient number, since it is larger than the sum of its proper divisors (2757225787513).

13002220122311 is a wasteful number, since it uses less digits than its factorization.

13002220122311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178242650.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13002220122311 its reverse (11322102220031), we get a palindrome (24324322342342).

The spelling of 13002220122311 in words is "thirteen trillion, two billion, two hundred twenty million, one hundred twenty-two thousand, three hundred eleven".

Divisors: 1 7 17 119 613 4291 10421 72947 178242013 1247694091 3030114221 21210799547 109262353969 764836477783 1857460017473 13002220122311