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13022002200031 = 1123147313494017
BaseRepresentation
bin1011110101111110101111…
…0100001011110111011111
31201002220001201112002121221
42331133223310023313133
53201323030030400111
643410120352034211
72512544232252226
oct275375364136737
951086051462557
1013022002200031
114170666839290
121563902232967
13735c7b0ca8a6
143303a81b9cbd
15178aeb09c371
hexbd7ebd0bddf

13022002200031 has 16 divisors (see below), whose sum is σ = 14824475474688. Its totient is φ = 11322708249600.

The previous prime is 13022002199989. The next prime is 13022002200047. The reversal of 13022002200031 is 13000220022031.

It is not a de Polignac number, because 13022002200031 - 211 = 13022002197983 is a prime.

It is a super-2 number, since 2×130220022000312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13022002199978 and 13022002200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022002200071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1979935 + ... + 5473951.

It is an arithmetic number, because the mean of its divisors is an integer number (926529717168).

Almost surely, 213022002200031 is an apocalyptic number.

13022002200031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13022002200031 is a deficient number, since it is larger than the sum of its proper divisors (1802473274657).

13022002200031 is a wasteful number, since it uses less digits than its factorization.

13022002200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508782.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13022002200031 its reverse (13000220022031), we get a palindrome (26022222222062).

It can be divided in two parts, 130220022000 and 31, that added together give a palindrome (130220022031).

The spelling of 13022002200031 in words is "thirteen trillion, twenty-two billion, two million, two hundred thousand, thirty-one".

Divisors: 1 11 23 253 14731 162041 338813 3494017 3726943 38434187 80362391 883986301 51470364427 566174008697 1183818381821 13022002200031