Search a number
-
+
10133214013 = 133721066973
BaseRepresentation
bin10010110111111110…
…01001001100111101
3222011012102121101201
421123333021030331
5131223100322023
64353301535501
7506052616666
oct113377111475
928135377351
1010133214013
11432aa3173a
121b69714591
13c5648cb30
146c1b1c36d
153e4923bad
hex25bfc933d

10133214013 has 8 divisors (see below), whose sum is σ = 11207630168. Its totient is φ = 9100931904.

The previous prime is 10133213963. The next prime is 10133214031. The reversal of 10133214013 is 31041233101.

It can be written as a sum of positive squares in 4 ways, for example, as 1543075524 + 8590138489 = 39282^2 + 92683^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10133214013 - 221 = 10131116861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133214913) 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, 10533006 + ... + 10533967.

It is an arithmetic number, because the mean of its divisors is an integer number (1400953771).

Almost surely, 210133214013 is an apocalyptic number.

10133214013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10133214013 is a deficient number, since it is larger than the sum of its proper divisors (1074416155).

10133214013 is a wasteful number, since it uses less digits than its factorization.

10133214013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21067023.

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

Adding to 10133214013 its reverse (31041233101), we get a palindrome (41174447114).

The spelling of 10133214013 in words is "ten billion, one hundred thirty-three million, two hundred fourteen thousand, thirteen".

Divisors: 1 13 37 481 21066973 273870649 779478001 10133214013