Search a number
-
+
2111121221301 = 331723199973593
BaseRepresentation
bin11110101110001000101…
…000010110011010110101
321110211011200000202211000
4132232020220112122311
5234042034013040201
64253500302233513
7305344360205211
oct36561050263265
97424150022730
102111121221301
11744359990074
122a1196285899
13124102132221
1474270937941
1539dad74dd86
hex1eb88a166b5

2111121221301 has 32 divisors (see below), whose sum is σ = 3455543704320. Its totient is φ = 1267032678912.

The previous prime is 2111121221299. The next prime is 2111121221309. The reversal of 2111121221301 is 1031221211112.

It is a happy number.

2111121221301 is a `hidden beast` number, since 21 + 1 + 1 + 121 + 221 + 301 = 666.

It is not a de Polignac number, because 2111121221301 - 21 = 2111121221299 is a prime.

It is a super-2 number, since 2×21111212213012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111121221309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99976240 + ... + 99997353.

It is an arithmetic number, because the mean of its divisors is an integer number (107985740760).

Almost surely, 22111121221301 is an apocalyptic number.

It is an amenable number.

2111121221301 is a deficient number, since it is larger than the sum of its proper divisors (1344422483019).

2111121221301 is a wasteful number, since it uses less digits than its factorization.

2111121221301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199973642 (or 199973636 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2111121221301 its reverse (1031221211112), we get a palindrome (3142342432413).

The spelling of 2111121221301 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, three hundred one".

Divisors: 1 3 9 17 23 27 51 69 153 207 391 459 621 1173 3519 10557 199973593 599920779 1799762337 3399551081 4599392639 5399287011 10198653243 13798177917 30595959729 41394533751 78189674863 91787879187 124183601253 234569024589 703707073767 2111121221301