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13220144102231 = 111597983976487
BaseRepresentation
bin1100000001100000110111…
…1111100011101101010111
31201210211111120110122010022
43000120031333203231113
53213044323342232411
644041130024415355
72533060331526413
oct300301577435527
951724446418108
1013220144102231
1142376a4774070
12159619b61755b
1374b8674977c1
14339c035bdd43
1517dd4633dedb
hexc060dfe3b57

13220144102231 has 16 divisors (see below), whose sum is σ = 14432661457920. Its totient is φ = 12009409517280.

The previous prime is 13220144102213. The next prime is 13220144102237.

It is a happy number.

13220144102231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13220144102231 - 218 = 13220143840087 is a prime.

It is a super-2 number, since 2×132201441022312 (a number of 27 digits) contains 22 as substring.

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 13220144102231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220144102237) 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, 172803470 + ... + 172879956.

It is an arithmetic number, because the mean of its divisors is an integer number (902041341120).

Almost surely, 213220144102231 is an apocalyptic number.

13220144102231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13220144102231 is a deficient number, since it is larger than the sum of its proper divisors (1212517355689).

13220144102231 is a wasteful number, since it uses less digits than its factorization.

13220144102231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87934.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1322014 and 4102231, that added together give a palindrome (5424245).

The spelling of 13220144102231 in words is "thirteen trillion, two hundred twenty billion, one hundred forty-four million, one hundred two thousand, two hundred thirty-one".

Divisors: 1 11 1597 9839 17567 76487 108229 841357 15712883 122149739 172841713 752555593 1343647129 8278111523 1201831282021 13220144102231