Search a number
-
+
212302330021331 = 111071381130612463
BaseRepresentation
bin110000010001011001111100…
…111101110100010111010011
31000211200220102101222112111022
4300101121330331310113103
5210311330132441140311
62031310202145110055
762501223436161614
oct6021317475642723
91024626371875438
10212302330021331
1161711a0464aa10
121b98974492832b
1391600404340c4
143a5d6b7d89c0b
15198270dec05db
hexc1167cf745d3

212302330021331 has 16 divisors (see below), whose sum is σ = 233936327121408. Its totient is φ = 191059909413600.

The previous prime is 212302330021321. The next prime is 212302330021339. The reversal of 212302330021331 is 133120033203212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212302330021331 is a prime.

It is a super-2 number, since 2×2123023300213312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212302330021331.

It is not an unprimeable number, because it can be changed into a prime (212302330021339) 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, 63680795 + ... + 66931668.

It is an arithmetic number, because the mean of its divisors is an integer number (14621020445088).

Almost surely, 2212302330021331 is an apocalyptic number.

212302330021331 is a deficient number, since it is larger than the sum of its proper divisors (21633997100077).

212302330021331 is a wasteful number, since it uses less digits than its factorization.

212302330021331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130613962.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 212302330021331 its reverse (133120033203212), we get a palindrome (345422363224543).

The spelling of 212302330021331 in words is "two hundred twelve trillion, three hundred two billion, three hundred thirty million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 11 107 1177 1381 15191 147767 1625437 130612463 1436737093 13975533541 153730868951 180375811403 1984133925433 19300211820121 212302330021331