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13022366322031 = 114731180991413
BaseRepresentation
bin1011110110000000000110…
…0001001100110101101111
31201002221000002200102002221
42331200001201030311233
53201324301234301111
643410220440300211
72512556243244343
oct275400141146557
951087002612087
1013022366322031
114170833329560
1215639a4171667
137360086898b1
143304006c1623
15178b1d025371
hexbd80184cd6f

13022366322031 has 16 divisors (see below), whose sum is σ = 14555128992768. Its totient is φ = 11549375351200.

The previous prime is 13022366321963. The next prime is 13022366322067.

13022366322031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13022366322031 - 27 = 13022366321903 is a prime.

It is a super-2 number, since 2×130223663220312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022366322071) 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, 40334920 + ... + 40656493.

It is an arithmetic number, because the mean of its divisors is an integer number (909695562048).

Almost surely, 213022366322031 is an apocalyptic number.

13022366322031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13022366322031 is a deficient number, since it is larger than the sum of its proper divisors (1532762670737).

13022366322031 is a wasteful number, since it uses less digits than its factorization.

13022366322031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80991782.

The product of its (nonzero) digits is 46656, while the sum is 34.

It can be divided in two parts, 1302236 and 6322031, that added together give a palindrome (7624267).

The spelling of 13022366322031 in words is "thirteen trillion, twenty-two billion, three hundred sixty-six million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 11 47 311 517 3421 14617 160787 80991413 890905543 3806596411 25188329443 41872560521 277071623873 1183851483821 13022366322031