Search a number
-
+
213301012021231 = 195310113926095783
BaseRepresentation
bin110000011111111100000011…
…000011010011111111101111
31000222020101012021100121201211
4300133330003003103333233
5210424210433034134411
62033353044314215251
762633326631131021
oct6037740303237757
91028211167317654
10213301012021231
1161a674a65a3922
121bb0b1b9424527
139203278631914
143a95b77348011
15199d6aeb8d221
hexc1ff030d3fef

213301012021231 has 64 divisors (see below), whose sum is σ = 232820251776000. Its totient is φ = 194778317260800.

The previous prime is 213301012021189. The next prime is 213301012021283. The reversal of 213301012021231 is 132120210103312.

It is a cyclic number.

It is not a de Polignac number, because 213301012021231 - 213 = 213301012013039 is a prime.

It is a super-3 number, since 3×2133010120212313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213301012091231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36884142366 + ... + 36884148148.

It is an arithmetic number, because the mean of its divisors is an integer number (3637816434000).

Almost surely, 2213301012021231 is an apocalyptic number.

213301012021231 is a deficient number, since it is larger than the sum of its proper divisors (19519239754769).

213301012021231 is a wasteful number, since it uses less digits than its factorization.

213301012021231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 213301012021231 its reverse (132120210103312), we get a palindrome (345421222124543).

The spelling of 213301012021231 in words is "two hundred thirteen trillion, three hundred one billion, twelve million, twenty-one thousand, two hundred thirty-one".

Divisors: 1 19 53 101 139 1007 1919 2609 2641 5353 5783 7367 14039 49571 101707 109877 138277 139973 263509 266741 306499 362651 584083 744067 803837 2627263 5006671 5823481 6890369 11097577 13965977 14137273 15087847 15272903 19220503 30956399 36627751 42603361 81187537 265353563 286669093 365189557 588171581 695927269 799655891 809463859 1523872547 1542563203 1941270803 2097210733 4302939461 15193461929 28953578393 36884145257 39847003927 80765244991 81755849759 111152168849 211818284033 1534539654829 2111891208131 4024547396627 11226369053749 213301012021231