Search a number
-
+
10201022013 = 371322874337
BaseRepresentation
bin10011000000000011…
…10011111000111101
3222022221000121111010
421200001303320331
5131342430201023
64404123145433
7510535153650
oct114001637075
928287017433
1010201022013
114365235906
121b88375279
13c67541a00
146cab2d897
153ea86a093
hex260073e3d

10201022013 has 24 divisors (see below), whose sum is σ = 16832123328. Its totient is φ = 5380756992.

The previous prime is 10201022011. The next prime is 10201022059. The reversal of 10201022013 is 31022010201.

It is not a de Polignac number, because 10201022013 - 21 = 10201022011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10201022013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201022011) 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, 1433620 + ... + 1440717.

It is an arithmetic number, because the mean of its divisors is an integer number (701338472).

Almost surely, 210201022013 is an apocalyptic number.

10201022013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10201022013 is a deficient number, since it is larger than the sum of its proper divisors (6631101315).

10201022013 is a wasteful number, since it uses less digits than its factorization.

10201022013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874373 (or 2874360 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10201022013 its reverse (31022010201), we get a palindrome (41223032214).

The spelling of 10201022013 in words is "ten billion, two hundred one million, twenty-two thousand, thirteen".

Divisors: 1 3 7 13 21 39 91 169 273 507 1183 3549 2874337 8623011 20120359 37366381 60361077 112099143 261564667 485762953 784694001 1457288859 3400340671 10201022013