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22212131131121 = 413350811616801
BaseRepresentation
bin1010000110011101010100…
…01011111000111011110001
32220122110101121110100112212
411003032222023320323301
510402410421032143441
6115124040121301505
74451526213262121
oct503165213707361
986573347410485
1022212131131121
117094125a55418
1225a8a39934895
13c51797222369
1456b103dc2c81
15287bc630beeb
hex1433aa2f8ef1

22212131131121 has 8 divisors (see below), whose sum is σ = 22753972406088. Its totient is φ = 21670293760000.

The previous prime is 22212131131111. The next prime is 22212131131259. The reversal of 22212131131121 is 12113113121222.

It can be written as a sum of positive squares in 4 ways, for example, as 3012529520896 + 19199601610225 = 1735664^2 + 4381735^2 .

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 22212131131121 - 226 = 22212064022257 is a prime.

It is a super-2 number, since 2×222121311311212 (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 (22212131131111) 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, 12929921 + ... + 14546721.

It is an arithmetic number, because the mean of its divisors is an integer number (2844246550761).

Almost surely, 222212131131121 is an apocalyptic number.

It is an amenable number.

22212131131121 is a deficient number, since it is larger than the sum of its proper divisors (541841274967).

22212131131121 is a wasteful number, since it uses less digits than its factorization.

22212131131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951923.

The product of its digits is 288, while the sum is 23.

Adding to 22212131131121 its reverse (12113113121222), we get a palindrome (34325244252343).

The spelling of 22212131131121 in words is "twenty-two trillion, two hundred twelve billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 41 335081 1616801 13738321 66288841 541759295881 22212131131121