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13023222232031 = 116911713356431
BaseRepresentation
bin1011110110000011010010…
…0010001111001111011111
31201010000012202020010220022
42331200310202033033133
53201333024342411111
643410441413342355
72512616405331644
oct275406442171737
951100182203808
1013023222232031
1141711324873a0
121563ba29379bb
13736113ab6c0b
14330482241dcb
15178b6d2432db
hexbd83488f3df

13023222232031 has 8 divisors (see below), whose sum is σ = 14227711811328. Its totient is φ = 11822159367000.

The previous prime is 13023222231961. The next prime is 13023222232049.

13023222232031 is nontrivially palindromic in base 10.

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-13023222232031 is a prime.

It is a super-2 number, since 2×130232222320312 (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 (13023222232231) 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, 856670615 + ... + 856685816.

It is an arithmetic number, because the mean of its divisors is an integer number (1778463976416).

Almost surely, 213023222232031 is an apocalyptic number.

13023222232031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13023222232031 is a deficient number, since it is larger than the sum of its proper divisors (1204489579297).

13023222232031 is a wasteful number, since it uses less digits than its factorization.

13023222232031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713357133.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 1302322 and 2232031, that added together give a palindrome (3534353).

The spelling of 13023222232031 in words is "thirteen trillion, twenty-three billion, two hundred twenty-two million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 11 691 7601 1713356431 18846920741 1183929293821 13023222232031