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22150151331201 = 3283281105523643
BaseRepresentation
bin1010000100101001110111…
…11001101101110110000001
32220102112102010112021212200
411002110323321231312001
510400402002220044301
6115035350011143413
74444203253544025
oct502247371556601
986375363467780
1022150151331201
11706a90aa78383
122598a20a44b69
13c4899a57133a
14568104612385
15286299d86c86
hex14253be6dd81

22150151331201 has 24 divisors (see below), whose sum is σ = 32495373027936. Its totient is φ = 14536936921920.

The previous prime is 22150151331199. The next prime is 22150151331239. The reversal of 22150151331201 is 10213315105122.

22150151331201 is a `hidden beast` number, since 2 + 2 + 1 + 501 + 5 + 1 + 33 + 120 + 1 = 666.

It is not a de Polignac number, because 22150151331201 - 21 = 22150151331199 is a prime.

It is a super-3 number, since 3×221501513312013 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22150151331251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52551915 + ... + 52971728.

It is an arithmetic number, because the mean of its divisors is an integer number (1353973876164).

Almost surely, 222150151331201 is an apocalyptic number.

It is an amenable number.

22150151331201 is a deficient number, since it is larger than the sum of its proper divisors (10345221696735).

22150151331201 is a wasteful number, since it uses less digits than its factorization.

22150151331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105524013 (or 105524010 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 22150151331201 its reverse (10213315105122), we get a palindrome (32363466436323).

The spelling of 22150151331201 in words is "twenty-two trillion, one hundred fifty billion, one hundred fifty-one million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 83 249 281 747 843 2529 23323 69969 209907 105523643 316570929 949712787 8758462369 26275387107 29652143683 78826161321 88956431049 266869293147 2461127925689 7383383777067 22150151331201