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20102122001 = 1317358715227
BaseRepresentation
bin10010101110001011…
…100000101000010001
31220212221200121022002
4102232023200220101
5312132120401001
613122414123345
71311102134453
oct225613405021
956787617262
1020102122001
11858613a875
123a901b0555
131b848b2260
14d89aaa2d3
157c9bde46b
hex4ae2e0a11

20102122001 has 16 divisors (see below), whose sum is σ = 21812099904. Its totient is φ = 18415907904.

The previous prime is 20102121997. The next prime is 20102122031. The reversal of 20102122001 is 10022120102.

20102122001 = T444 + T445 + ... + T4941.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20102122001 - 22 = 20102121997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20102122031) 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, 1312550 + ... + 1327776.

It is an arithmetic number, because the mean of its divisors is an integer number (1363256244).

Almost surely, 220102122001 is an apocalyptic number.

It is an amenable number.

20102122001 is a deficient number, since it is larger than the sum of its proper divisors (1709977903).

20102122001 is a wasteful number, since it uses less digits than its factorization.

20102122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16000.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20102122001 its reverse (10022120102), we get a palindrome (30124242103).

The spelling of 20102122001 in words is "twenty billion, one hundred two million, one hundred twenty-two thousand, one".

Divisors: 1 13 173 587 2249 7631 15227 101551 197951 1320163 2634271 8938249 34245523 116197237 1546317077 20102122001