Search a number
-
+
213040210122120 = 233516671064988053
BaseRepresentation
bin110000011100001001001010…
…000011000001010110001000
31000221022110000112120102201010
4300130021022003001112020
5210410422322242401440
62033033153232323520
762605435002433023
oct6034111203012610
91027273015512633
10213040210122120
1161976933737a27
121ba887533a35a0
1391b47b46b9164
143a872b60b21ba
1519969e88b6580
hexc1c24a0c1588

213040210122120 has 64 divisors (see below), whose sum is σ = 639504026665920. Its totient is φ = 56776643028224.

The previous prime is 213040210122067. The next prime is 213040210122227. The reversal of 213040210122120 is 21221012040312.

It is a happy number.

It is a super-2 number, since 2×2130402101221202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532293987 + ... + 532694066.

It is an arithmetic number, because the mean of its divisors is an integer number (9992250416655).

Almost surely, 2213040210122120 is an apocalyptic number.

213040210122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213040210122120 is an abundant number, since it is smaller than the sum of its proper divisors (426463816543800).

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

213040210122120 is a wasteful number, since it uses less digits than its factorization.

213040210122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064989734 (or 1064989730 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 213040210122120 its reverse (21221012040312), we get a palindrome (234261222162432).

The spelling of 213040210122120 in words is "two hundred thirteen trillion, forty billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1667 3334 5001 6668 8335 10002 13336 16670 20004 25005 33340 40008 50010 66680 100020 200040 1064988053 2129976106 3194964159 4259952212 5324940265 6389928318 8519904424 10649880530 12779856636 15974820795 21299761060 25559713272 31949641590 42599522120 63899283180 127798566360 1775335084351 3550670168702 5326005253053 7101340337404 8876675421755 10652010506106 14202680674808 17753350843510 21304021012212 26630026265265 35506701687020 42608042024424 53260052530530 71013403374040 106520105061060 213040210122120