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22013101031321 = 1131932309437141
BaseRepresentation
bin1010000000101010100110…
…00100010011111110011001
32212221102122212012201000002
411000111103010103332121
510341130312331000241
6114452402355422345
74431252110323361
oct500252304237631
985842585181002
1022013101031321
117017781719634
122576352bb49b5
13c38a98b31b3a
14561622a559a1
152829280c089b
hex140553113f99

22013101031321 has 16 divisors (see below), whose sum is σ = 22332693010320. Its totient is φ = 21695796756480.

The previous prime is 22013101031309. The next prime is 22013101031407. The reversal of 22013101031321 is 12313010131022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 107059840000 + 21906041191321 = 327200^2 + 4680389^2 .

It is a cyclic number.

It is not a de Polignac number, because 22013101031321 - 226 = 22013033922457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22013101031293 and 22013101031302.

It is not an unprimeable number, because it can be changed into a prime (22013101031021) 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, 50138411 + ... + 50575551.

It is an arithmetic number, because the mean of its divisors is an integer number (1395793313145).

Almost surely, 222013101031321 is an apocalyptic number.

It is an amenable number.

22013101031321 is a deficient number, since it is larger than the sum of its proper divisors (319591978999).

22013101031321 is a wasteful number, since it uses less digits than its factorization.

22013101031321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439756.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 22013101031321 its reverse (12313010131022), we get a palindrome (34326111162343).

The spelling of 22013101031321 in words is "twenty-two trillion, thirteen billion, one hundred one million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 113 193 2309 21809 260917 437141 445637 49396933 50356981 84368213 1009358569 9533608069 114057518297 194806203817 22013101031321