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13420222202431 = 112686145419761
BaseRepresentation
bin1100001101001010001110…
…0100111100001000111111
31202111221221100201012221201
43003102203210330020333
53224334103340434211
644313055344440331
72553402421364662
oct303224344741077
952457840635851
1013420222202431
114304536629090
121608b193190a7
137646a1a303c5
14345783bd16d9
1518415658e0c1
hexc34a393c23f

13420222202431 has 8 divisors (see below), whose sum is σ = 14640787762128. Its totient is φ = 12199747536000.

The previous prime is 13420222202407. The next prime is 13420222202503.

13420222202431 is nontrivially palindromic in base 10.

13420222202431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13420222202431 is a prime.

It is a super-2 number, since 2×134202222024312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13420222202431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420222200431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22414410 + ... + 23005351.

It is an arithmetic number, because the mean of its divisors is an integer number (1830098470266).

Almost surely, 213420222202431 is an apocalyptic number.

13420222202431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13420222202431 is a deficient number, since it is larger than the sum of its proper divisors (1220565559697).

13420222202431 is a wasteful number, since it uses less digits than its factorization.

13420222202431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45446633.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 1342022 and 2202431, that added together give a palindrome (3544453).

The spelling of 13420222202431 in words is "thirteen trillion, four hundred twenty billion, two hundred twenty-two million, two hundred two thousand, four hundred thirty-one".

Divisors: 1 11 26861 295471 45419761 499617371 1220020200221 13420222202431