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22202131521401 = 1317419397260753
BaseRepresentation
bin1010000110001010101100…
…01010011001111101111001
32220121111120201102112210022
411003011112022121331321
510402224431132141101
6115115303551100225
74451023342064036
oct503052612317571
986544521375708
1022202131521401
11708a964487657
1225a6b08b11675
13c50862640730
1456a835d2238d
152877dd4c9a1b
hex143156299f79

22202131521401 has 32 divisors (see below), whose sum is σ = 25936791517728. Its totient is φ = 18816198082560.

The previous prime is 22202131521371. The next prime is 22202131521443. The reversal of 22202131521401 is 10412513120222.

It can be written as a sum of positive squares in 16 ways, for example, as 12730195843600 + 9471935677801 = 3567940^2 + 3077651^2 .

It is a cyclic number.

It is not a de Polignac number, because 22202131521401 - 214 = 22202131505017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22202131521301) 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, 85015841 + ... + 85276593.

It is an arithmetic number, because the mean of its divisors is an integer number (810524734929).

Almost surely, 222202131521401 is an apocalyptic number.

It is an amenable number.

22202131521401 is a deficient number, since it is larger than the sum of its proper divisors (3734659996327).

22202131521401 is a wasteful number, since it uses less digits than its factorization.

22202131521401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270221.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 22202131521401 its reverse (10412513120222), we get a palindrome (32614644641623).

The spelling of 22202131521401 in words is "twenty-two trillion, two hundred two billion, one hundred thirty-one million, five hundred twenty-one thousand, four hundred one".

Divisors: 1 13 17 41 221 533 697 9061 9397 122161 159749 260753 385277 2076737 3389789 4432801 5008601 6549709 10690873 57626413 85146217 138981349 181744841 2362682933 2450295941 31853847233 41655030997 100462133581 541515402961 1306007736553 1707856270877 22202131521401