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12031022031311 = 313746372262049
BaseRepresentation
bin1010111100010011000011…
…0010110110000111001111
31120121011011121111120120002
42233010300302312013033
53034104013120000221
641330550351514515
72351132640641333
oct257046062660717
946534147446502
1012031022031311
11391936731a108
121423838b28a3b
1369369c736a2a
142d8439a6b7c3
1515ce4b62d80b
hexaf130cb61cf

12031022031311 has 16 divisors (see below), whose sum is σ = 12757527686400. Its totient is φ = 11325802890240.

The previous prime is 12031022031289. The next prime is 12031022031331. The reversal of 12031022031311 is 11313022013021.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12031022031311 is a prime.

It is a super-2 number, since 2×120310220313112 (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 (12031022031331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4187615 + ... + 6449663.

It is an arithmetic number, because the mean of its divisors is an integer number (797345480400).

Almost surely, 212031022031311 is an apocalyptic number.

12031022031311 is a deficient number, since it is larger than the sum of its proper divisors (726505655089).

12031022031311 is a wasteful number, since it uses less digits than its factorization.

12031022031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266754.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12031022031311 its reverse (11313022013021), we get a palindrome (23344044044332).

The spelling of 12031022031311 in words is "twelve trillion, thirty-one billion, twenty-two million, thirty-one thousand, three hundred eleven".

Divisors: 1 31 37 1147 4637 143747 171569 2262049 5318639 70123519 83695813 2594570203 10489121213 325162757603 388097484881 12031022031311