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22132423130201 = 17449120112891873
BaseRepresentation
bin1010000100001000110110…
…01101111111110001011001
32220100211122121210100222122
411002010123031333301121
510400104200310131301
6115023254514231025
74443005035404566
oct502043315776131
986324577710878
1022132423130201
11706334295859a
1225954b3885475
13c47103746687
14567301d3786d
15285aad7bb81b
hex14211b37fc59

22132423130201 has 32 divisors (see below), whose sum is σ = 23536874052000. Its totient is φ = 20739627417600.

The previous prime is 22132423130131. The next prime is 22132423130203. The reversal of 22132423130201 is 10203132423122.

It can be written as a sum of positive squares in 16 ways, for example, as 9276440775625 + 12855982354576 = 3045725^2 + 3585524^2 .

It is a cyclic number.

It is not a de Polignac number, because 22132423130201 - 230 = 22131349388377 is a prime.

It is a super-2 number, since 2×221324231302012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22132423130203) 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 31 ways as a sum of consecutive naturals, for example, 11816562401 + ... + 11816564273.

It is an arithmetic number, because the mean of its divisors is an integer number (735527314125).

Almost surely, 222132423130201 is an apocalyptic number.

It is an amenable number.

22132423130201 is a deficient number, since it is larger than the sum of its proper divisors (1404450921799).

22132423130201 is a wasteful number, since it uses less digits than its factorization.

22132423130201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 22132423130201 its reverse (10203132423122), we get a palindrome (32335555553323).

The spelling of 22132423130201 in words is "twenty-two trillion, one hundred thirty-two billion, four hundred twenty-three million, one hundred thirty thousand, two hundred one".

Divisors: 1 17 449 1201 1289 1873 7633 20417 21913 31841 539249 578761 840977 1548089 2249473 2414297 9167233 9838937 14296609 26317513 38241041 41043049 695091961 1010013377 1084019353 2899570697 11816563337 17170227409 18428329001 49292701849 1301907242953 22132423130201