Search a number
-
+
21312300322013 = 2315736493161731
BaseRepresentation
bin1001101100010001010000…
…00101110000110011011101
32210110102202212001001120212
410312020220011300303131
510243140042340301023
6113154422520222205
74326522445510361
oct466105005606335
983412685031525
1021312300322013
11687754aa15208
12248257230a965
13bb798382420c
1453974127d2a1
1526e5adaa0e78
hex136228170cdd

21312300322013 has 16 divisors (see below), whose sum is σ = 22381322929536. Its totient is φ = 20255153181120.

The previous prime is 21312300322003. The next prime is 21312300322037. The reversal of 21312300322013 is 31022300321312.

It is a cyclic number.

It is not a de Polignac number, because 21312300322013 - 210 = 21312300320989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 21312300322013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312300322003) 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, 131695358 + ... + 131857088.

It is an arithmetic number, because the mean of its divisors is an integer number (1398832683096).

Almost surely, 221312300322013 is an apocalyptic number.

21312300322013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21312300322013 is a deficient number, since it is larger than the sum of its proper divisors (1069022607523).

21312300322013 is a wasteful number, since it uses less digits than its factorization.

21312300322013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198404.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 21312300322013 its reverse (31022300321312), we get a palindrome (52334600643325).

The spelling of 21312300322013 in words is "twenty-one trillion, three hundred twelve billion, three hundred million, three hundred twenty-two thousand, thirteen".

Divisors: 1 23 157 3611 36493 161731 839339 3719813 5729401 25391767 131776223 584010641 5902049383 135747135809 926621753131 21312300322013