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2213452543122 = 2323773137332317
BaseRepresentation
bin100000001101011100000…
…011010111010010010010
321211121022022110112101100
4200031130003113102102
5242231122322334442
64412502425445230
7315626263120302
oct40153403272222
97747268415340
102213452543122
117837a128a817
122b8b94940816
1313095c932622
14791bb45b602
153c89c49584c
hex2035c0d7492

2213452543122 has 96 divisors (see below), whose sum is σ = 5029361758512. Its totient is φ = 702872266752.

The previous prime is 2213452543097. The next prime is 2213452543163.

2213452543122 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 525 + 4 + 3 + 122 = 666.

2213452543122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1594585547361 + 618866995761 = 1262769^2 + 786681^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6494508 + ... + 6826824.

Almost surely, 22213452543122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213452543122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514680879256).

2213452543122 is an abundant number, since it is smaller than the sum of its proper divisors (2815909215390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2213452543122 is a wasteful number, since it uses less digits than its factorization.

2213452543122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332572 (or 332569 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 2213452543122 in words is "two trillion, two hundred thirteen billion, four hundred fifty-two million, five hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 73 74 111 137 146 219 222 274 333 411 438 657 666 822 1233 1314 2466 2701 5069 5402 8103 10001 10138 15207 16206 20002 24309 30003 30414 45621 48618 60006 90009 91242 180018 332317 370037 664634 740074 996951 1110111 1993902 2220222 2990853 3330333 5981706 6660666 12295729 24259141 24591458 36887187 45527429 48518282 72777423 73774374 91054858 110661561 136582287 145554846 218332269 221323122 273164574 409746861 436664538 819493722 897588217 1684514873 1795176434 2692764651 3323502317 3369029746 5053544619 5385529302 6647004634 8078293953 9970506951 10107089238 15160633857 16156587906 19941013902 29911520853 30321267714 59823041706 122969585729 245939171458 368908757187 737817514374 1106726271561 2213452543122