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22121242004441 = 1729106853419929
BaseRepresentation
bin1010000011110100000001…
…10001011000101111011001
32220022202210101112022220202
411001322000301120233121
510344413300423120231
6115014205220031545
74442130666404366
oct501720061305731
986282711468822
1022121242004441
117059625459298
1225932b32325b5
13c46041142928
14566960d9946d
15285656da05cb
hex141e80c58bd9

22121242004441 has 16 divisors (see below), whose sum is σ = 24230448118800. Its totient is φ = 20101825701888.

The previous prime is 22121242004429. The next prime is 22121242004531. The reversal of 22121242004441 is 14440024212122.

It can be written as a sum of positive squares in 8 ways, for example, as 1590411043225 + 20530830961216 = 1261115^2 + 4531096^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121242004441 - 214 = 22121241988057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22121242004401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52468565 + ... + 52888493.

It is an arithmetic number, because the mean of its divisors is an integer number (1514403007425).

Almost surely, 222121242004441 is an apocalyptic number.

It is an amenable number.

22121242004441 is a deficient number, since it is larger than the sum of its proper divisors (2109206114359).

22121242004441 is a wasteful number, since it uses less digits than its factorization.

22121242004441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526828.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 22121242004441 its reverse (14440024212122), we get a palindrome (36561266216563).

The spelling of 22121242004441 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred forty-two million, four thousand, four hundred forty-one".

Divisors: 1 17 29 493 106853 419929 1816501 3098737 7138793 12177941 52678529 207024997 44870673437 762801448429 1301249529673 22121242004441