Search a number
-
+
12031322003113 = 723761153108517
BaseRepresentation
bin1010111100010100001010…
…1011001001011010101001
31120121011221111221201111211
42233011002223021122221
53034110121413044423
641331040225153121
72351143242442600
oct257050253113251
946534844851454
1012031322003113
113919500684396
12142390148b7a1
13693719924a3a
142d8467834a37
1515ce67b3410d
hexaf142ac96a9

12031322003113 has 24 divisors (see below), whose sum is σ = 14374246966152. Its totient is φ = 10033587293184.

The previous prime is 12031322003101. The next prime is 12031322003119. The reversal of 12031322003113 is 31130022313021.

It can be written as a sum of positive squares in 4 ways, for example, as 9846090071104 + 2185231932009 = 3137848^2 + 1478253^2 .

It is not a de Polignac number, because 12031322003113 - 217 = 12031321872041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12031322003119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110816131 + ... + 110924647.

It is an arithmetic number, because the mean of its divisors is an integer number (598926956923).

Almost surely, 212031322003113 is an apocalyptic number.

It is an amenable number.

12031322003113 is a deficient number, since it is larger than the sum of its proper divisors (2342924963039).

12031322003113 is a wasteful number, since it uses less digits than its factorization.

12031322003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169721 (or 169714 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12031322003113 its reverse (31130022313021), we get a palindrome (43161344316134).

The spelling of 12031322003113 in words is "twelve trillion, thirty-one billion, three hundred twenty-two million, three thousand, one hundred thirteen".

Divisors: 1 7 37 49 259 1813 61153 108517 428071 759619 2262661 2996497 4015129 5317333 15838627 28105903 110870389 196741321 6636140101 46452980707 245537183737 325170864949 1718760286159 12031322003113