Search a number
-
+
13212112033 = 378910936809
BaseRepresentation
bin11000100111000000…
…01101010010100001
31021002202220211110201
430103200031102201
5204024300041113
610023005225201
7645260046031
oct142340152241
937082824421
1013212112033
11566a99035a
122688862201
131327309c93
148d49c18c1
15524d9ecdd
hex31380d4a1

13212112033 has 16 divisors (see below), whose sum is σ = 13847922000. Its totient is φ = 12593636352.

The previous prime is 13212112031. The next prime is 13212112063. The reversal of 13212112033 is 33021121231.

It can be written as a sum of positive squares in 8 ways, for example, as 122921569 + 13089190464 = 11087^2 + 114408^2 .

It is a cyclic number.

It is not a de Polignac number, because 13212112033 - 21 = 13212112031 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13212112033.

It is not an unprimeable number, because it can be changed into a prime (13212112031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340533 + ... + 377341.

It is an arithmetic number, because the mean of its divisors is an integer number (865495125).

Almost surely, 213212112033 is an apocalyptic number.

It is an amenable number.

13212112033 is a deficient number, since it is larger than the sum of its proper divisors (635809967).

13212112033 is a wasteful number, since it uses less digits than its factorization.

13212112033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37044.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13212112033 its reverse (33021121231), we get a palindrome (46233233264).

The spelling of 13212112033 in words is "thirteen billion, two hundred twelve million, one hundred twelve thousand, thirty-three".

Divisors: 1 37 89 109 3293 4033 9701 36809 358937 1361933 3276001 4012181 121212037 148450697 357084109 13212112033