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22131333114001 = 1710957118813829
BaseRepresentation
bin1010000100000110110100…
…01111111010100010010001
32220100201211122201210212021
411002003122033322202101
510400044432234122001
6115022554415331441
74442636031413026
oct502033217724221
986321748653767
1022131333114001
117062933642261
12259524a820b81
13c46c8b980087
1456723b27754d
15285a47c58ba1
hex1420da3fa891

22131333114001 has 8 divisors (see below), whose sum is σ = 23435315084520. Its totient is φ = 20827588793088.

The previous prime is 22131333113999. The next prime is 22131333114053. The reversal of 22131333114001 is 10041133313122.

It can be written as a sum of positive squares in 4 ways, for example, as 2223450783376 + 19907882330625 = 1491124^2 + 4461825^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 22131333114001 - 21 = 22131333113999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22131333114101) 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, 59220646 + ... + 59593183.

It is an arithmetic number, because the mean of its divisors is an integer number (2929414385565).

Almost surely, 222131333114001 is an apocalyptic number.

It is an amenable number.

22131333114001 is a deficient number, since it is larger than the sum of its proper divisors (1303981970519).

22131333114001 is a wasteful number, since it uses less digits than its factorization.

22131333114001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118824803.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 22131333114001 its reverse (10041133313122), we get a palindrome (32172466427123).

The spelling of 22131333114001 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred thirty-three million, one hundred fourteen thousand, one".

Divisors: 1 17 10957 186269 118813829 2019835093 1301843124353 22131333114001