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213122133012 = 223891731153483
BaseRepresentation
bin1100011001111100010…
…0011010110000010100
3202101002211220002221210
43012133010122300110
511442433231224022
6241523522541420
721253236145365
oct3063704326024
9671084802853
10213122133012
1182425984a28
123537a207870
1317135ab3919
14a45ab5db6c
15582549da0c
hex319f11ac14

213122133012 has 48 divisors (see below), whose sum is σ = 505779664320. Its totient is φ = 69836414208.

The previous prime is 213122132981. The next prime is 213122133109. The reversal of 213122133012 is 210331221312.

It is a self number, because there is not a number n which added to its sum of digits gives 213122133012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 391978 + ... + 761505.

It is an arithmetic number, because the mean of its divisors is an integer number (10537076340).

Almost surely, 2213122133012 is an apocalyptic number.

It is an amenable number.

213122133012 is an abundant number, since it is smaller than the sum of its proper divisors (292657531308).

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

213122133012 is a wasteful number, since it uses less digits than its factorization.

213122133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153752 (or 1153750 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213122133012 its reverse (210331221312), we get a palindrome (423453354324).

The spelling of 213122133012 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 89 173 178 267 346 356 519 534 692 1038 1068 2076 15397 30794 46191 61588 92382 184764 1153483 2306966 3460449 4613932 6920898 13841796 102659987 199552559 205319974 307979961 399105118 410639948 598657677 615959922 798210236 1197315354 1231919844 2394630708 17760177751 35520355502 53280533253 71040711004 106561066506 213122133012