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3122144412213 = 310193131110641
BaseRepresentation
bin101101011011101110010…
…011110000001000110101
3102001110210121112022111010
4231123232103300020311
5402123122432142323
610350143210102433
7441365435426121
oct55335623601065
912043717468433
103122144412213
11aa41041434a2
12425113a1aa19
13198556085028
14ab180d6a581
1556332ad5c93
hex2d6ee4f0235

3122144412213 has 16 divisors (see below), whose sum is σ = 4204158783552. Its totient is φ = 2060780640000.

The previous prime is 3122144412199. The next prime is 3122144412253.

It is a happy number.

3122144412213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3122144412213 - 25 = 3122144412181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122144412253) 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, 28163373 + ... + 28274013.

It is an arithmetic number, because the mean of its divisors is an integer number (262759923972).

Almost surely, 23122144412213 is an apocalyptic number.

It is an amenable number.

3122144412213 is a deficient number, since it is larger than the sum of its proper divisors (1082014371339).

3122144412213 is a wasteful number, since it uses less digits than its factorization.

3122144412213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203876.

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

The spelling of 3122144412213 in words is "three trillion, one hundred twenty-two billion, one hundred forty-four million, four hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 101 303 93131 110641 279393 331923 9406231 11174741 28218693 33524223 10304106971 30912320913 1040714804071 3122144412213