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213313144241034 = 2341797356132983
BaseRepresentation
bin110000100000000111010110…
…001100000011101110001010
31000222021112111210021020120000
4300200013112030003232022
5210424410304411203114
62033402412225543430
762634236366242155
oct6040072614035612
91028245453236500
10213313144241034
1161a71661953162
121bb116244a4b76
13920445ccab3c6
143a965a8742c9c
15199db6ed29e09
hexc201d6303b8a

213313144241034 has 40 divisors (see below), whose sum is σ = 480649729174560. Its totient is φ = 70707150222984.

The previous prime is 213313144241011. The next prime is 213313144241053. The reversal of 213313144241034 is 430142441313312.

213313144241034 is a `hidden beast` number, since 2 + 1 + 331 + 314 + 4 + 2 + 4 + 1 + 0 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213313144241034.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3678037494 + ... + 3678095489.

It is an arithmetic number, because the mean of its divisors is an integer number (12016243229364).

Almost surely, 2213313144241034 is an apocalyptic number.

213313144241034 is an abundant number, since it is smaller than the sum of its proper divisors (267336584933526).

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

213313144241034 is a wasteful number, since it uses less digits than its factorization.

213313144241034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356133176 (or 7356133167 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 213313144241034 its reverse (430142441313312), we get a palindrome (643455585554346).

The spelling of 213313144241034 in words is "two hundred thirteen trillion, three hundred thirteen billion, one hundred forty-four million, two hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 358 537 1074 1611 3222 4833 9666 14499 28998 7356132983 14712265966 22068398949 44136797898 66205196847 132410393694 198615590541 397231181082 595846771623 1191693543246 1316747803957 2633495607914 3950243411871 7900486823742 11850730235613 23701460471226 35552190706839 71104381413678 106656572120517 213313144241034