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1224364634221 = 731011371212121
BaseRepresentation
bin10001110100010001110…
…100011011000001101101
311100001022002001202210111
4101310101310123001231
5130024444321243341
62334244303140021
7154312616451031
oct21642164330155
94301262052714
101224364634221
11432282a0a433
121793592a4611
138b5c32c2231
144338c3601c1
1521cadc06681
hex11d11d1b06d

1224364634221 has 16 divisors (see below), whose sum is σ = 1262575366128. Its totient is φ = 1186907904000.

The previous prime is 1224364634153. The next prime is 1224364634239.

1224364634221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 76113084996 + 1148251549225 = 275886^2 + 1071565^2 .

It is a cyclic number.

It is not a de Polignac number, because 1224364634221 - 213 = 1224364626029 is a prime.

It is a super-2 number, since 2×12243646342212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224364634261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404041 + ... + 1616161.

It is an arithmetic number, because the mean of its divisors is an integer number (78910960383).

Almost surely, 21224364634221 is an apocalyptic number.

It is an amenable number.

1224364634221 is a deficient number, since it is larger than the sum of its proper divisors (38210731907).

1224364634221 is a wasteful number, since it uses less digits than its factorization.

1224364634221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212432.

The product of its digits is 331776, while the sum is 40.

The spelling of 1224364634221 in words is "one trillion, two hundred twenty-four billion, three hundred sixty-four million, six hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 73 101 137 7373 10001 13837 1010101 1212121 88484833 122424221 166060577 8936968133 12122422121 16772118277 1224364634221