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22010001010001 = 292957256667417
BaseRepresentation
bin1010000000100100110100…
…10010101010110101010001
32212221010122210222022012122
411000102122102222311101
510341102440224310001
6114451131015304025
74431112225506344
oct500223222526521
985833583868178
1022010001010001
117016430852744
12257582897b015
13c386c37ca1b4
1456140b05445b
152827e5d70b1b
hex14049a4aad51

22010001010001 has 8 divisors (see below), whose sum is σ = 22776666673320. Its totient is φ = 21243848687488.

The previous prime is 22010001009851. The next prime is 22010001010003. The reversal of 22010001010001 is 10001010001022.

It can be written as a sum of positive squares in 4 ways, for example, as 2145829468225 + 19864171541776 = 1464865^2 + 4456924^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22010001010001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22010001010003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128247956 + ... + 128419461.

It is an arithmetic number, because the mean of its divisors is an integer number (2847083334165).

Almost surely, 222010001010001 is an apocalyptic number.

It is an amenable number.

22010001010001 is a deficient number, since it is larger than the sum of its proper divisors (766665663319).

22010001010001 is a wasteful number, since it uses less digits than its factorization.

22010001010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256670403.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22010001010001 its reverse (10001010001022), we get a palindrome (32011011011023).

The spelling of 22010001010001 in words is "twenty-two trillion, ten billion, one million, ten thousand, one".

Divisors: 1 29 2957 85753 256667417 7443355093 758965552069 22010001010001