Search a number
-
+
202122002013 = 32325189116293
BaseRepresentation
bin1011110000111101101…
…0001111111001011101
3201022201020012120000120
42330033122033321131
511302421213031023
6232504211545153
720413525445541
oct2741732177135
9638636176016
10202122002013
11787a0667778
123320a2bb1b9
13160a1b41779
149ad5c57a21
1553ce8d58e3
hex2f0f68fe5d

202122002013 has 16 divisors (see below), whose sum is σ = 281226802560. Its totient is φ = 128883167424.

The previous prime is 202122002009. The next prime is 202122002057. The reversal of 202122002013 is 310200221202.

It is a happy number.

It is not a de Polignac number, because 202122002013 - 22 = 202122002009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202122001983 and 202122002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122002083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1679895 + ... + 1796187.

It is an arithmetic number, because the mean of its divisors is an integer number (17576675160).

Almost surely, 2202122002013 is an apocalyptic number.

202122002013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

202122002013 is a deficient number, since it is larger than the sum of its proper divisors (79104800547).

202122002013 is a wasteful number, since it uses less digits than its factorization.

202122002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141508.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202122002013 its reverse (310200221202), we get a palindrome (512322223215).

The spelling of 202122002013 in words is "two hundred two billion, one hundred twenty-two million, two thousand, thirteen".

Divisors: 1 3 23 69 25189 75567 116293 348879 579347 1738041 2674739 8024217 2929304377 8787913131 67374000671 202122002013