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1224314134221 = 31016596131473
BaseRepresentation
bin10001110100001110110…
…011110001111011001101
311100001011120001002211010
4101310032303301323031
5130024343404243341
62334235300515433
7154311434301513
oct21641663617315
94301146032733
101224314134221
11432257457aa2
121793443abb79
138b5b59c0389
14433857764b3
1521ca957d716
hex11d0ecf1ecd

1224314134221 has 16 divisors (see below), whose sum is σ = 1651083318720. Its totient is φ = 806901715200.

The previous prime is 1224314134201. The next prime is 1224314134237.

It is a happy number.

1224314134221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1224314134221 - 210 = 1224314133197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224314134201) 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 15 ways as a sum of consecutive naturals, for example, 2866060 + ... + 3265413.

It is an arithmetic number, because the mean of its divisors is an integer number (103192707420).

Almost surely, 21224314134221 is an apocalyptic number.

It is an amenable number.

1224314134221 is a deficient number, since it is larger than the sum of its proper divisors (426769184499).

1224314134221 is a wasteful number, since it uses less digits than its factorization.

1224314134221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132236.

The product of its digits is 9216, while the sum is 30.

The spelling of 1224314134221 in words is "one trillion, two hundred twenty-four billion, three hundred fourteen million, one hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 3 101 303 659 1977 66559 199677 6131473 18394419 619278773 1857836319 4040640707 12121922121 408104711407 1224314134221