Search a number
-
+
12332053202132 = 22229126891060993
BaseRepresentation
bin1011001101110100011110…
…1001101000010011010100
31121122221011222202111202002
42303131013221220103110
53104022021104432012
642121133402334432
72411650526450636
oct263350751502324
947587158674662
1012332053202132
113a24aa359a2a4
12147204b7ba418
136b5ba5097691
14308c35b12a56
15165bb95c97c2
hexb3747a684d4

12332053202132 has 24 divisors (see below), whose sum is σ = 21677062314600. Its totient is φ = 6138611122176.

The previous prime is 12332053202107. The next prime is 12332053202137. The reversal of 12332053202132 is 23120235023321.

12332053202132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1648281093316 + 10683772108816 = 1283854^2 + 3268604^2 .

It is a super-2 number, since 2×123320532021322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12332053202095 and 12332053202104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332053202137) 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, 11092628 + ... + 12153620.

It is an arithmetic number, because the mean of its divisors is an integer number (903210929775).

Almost surely, 212332053202132 is an apocalyptic number.

It is an amenable number.

12332053202132 is a deficient number, since it is larger than the sum of its proper divisors (9345009112468).

12332053202132 is a wasteful number, since it uses less digits than its factorization.

12332053202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073915 (or 1073913 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 12332053202132 its reverse (23120235023321), we get a palindrome (35452288225453).

The spelling of 12332053202132 in words is "twelve trillion, three hundred thirty-two billion, fifty-three million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 229 458 916 12689 25378 50756 1060993 2121986 2905781 4243972 5811562 11623124 242967397 485934794 971869588 13462940177 26925880354 53851760708 3083013300533 6166026601066 12332053202132