Search a number
-
+
10133103213 = 33375300119
BaseRepresentation
bin10010110111111101…
…01110001001101101
3222011012012222102000
421123332232021231
5131223033300323
64353255322513
7506051645652
oct113376561155
928135188360
1010133103213
11432a966472
121b69680439
13c5645157c
146c1acdc29
153e4900e43
hex25bfae26d

10133103213 has 8 divisors (see below), whose sum is σ = 15012004800. Its totient is φ = 6755402124.

The previous prime is 10133103187. The next prime is 10133103217. The reversal of 10133103213 is 31230133101.

It is a happy number.

10133103213 is a `hidden beast` number, since 10 + 1 + 331 + 0 + 321 + 3 = 666.

It is not a de Polignac number, because 10133103213 - 28 = 10133102957 is a prime.

It is a super-3 number, since 3×101331032133 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133103217) 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, 187650033 + ... + 187650086.

It is an arithmetic number, because the mean of its divisors is an integer number (1876500600).

Almost surely, 210133103213 is an apocalyptic number.

It is an amenable number.

10133103213 is a deficient number, since it is larger than the sum of its proper divisors (4878901587).

10133103213 is an equidigital number, since it uses as much as digits as its factorization.

10133103213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375300128 (or 375300122 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10133103213 its reverse (31230133101), we get a palindrome (41363236314).

The spelling of 10133103213 in words is "ten billion, one hundred thirty-three million, one hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 27 375300119 1125900357 3377701071 10133103213