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13042233224031 = 3112913628247883
BaseRepresentation
bin1011110111001010000110…
…1011011010101101011111
31201011211021122202121020010
42331302201223122231133
53202140443201132111
643423304053054303
72514161461155414
oct275624153325537
951154248677203
1013042233224031
1141791a8710030
121567809627393
13737b536028cb
1433136703c10b
151793d224eaa6
hexbdca1adab5f

13042233224031 has 16 divisors (see below), whose sum is σ = 19624676952960. Its totient is φ = 7631818813920.

The previous prime is 13042233224023. The next prime is 13042233224159.

It is a happy number.

13042233224031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13042233224031 - 23 = 13042233224023 is a prime.

It is a super-2 number, since 2×130422332240312 (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 13042233224031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042233204031) 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, 6814122985 + ... + 6814124898.

It is an arithmetic number, because the mean of its divisors is an integer number (1226542309560).

Almost surely, 213042233224031 is an apocalyptic number.

13042233224031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13042233224031 is a deficient number, since it is larger than the sum of its proper divisors (6582443728929).

13042233224031 is a wasteful number, since it uses less digits than its factorization.

13042233224031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13628247926.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 1304223 and 3224031, that added together give a palindrome (4528254).

The spelling of 13042233224031 in words is "thirteen trillion, forty-two billion, two hundred thirty-three million, two hundred twenty-four thousand, thirty-one".

Divisors: 1 3 11 29 33 87 319 957 13628247883 40884743649 149910726713 395219188607 449732180139 1185657565821 4347411074677 13042233224031