Search a number
-
+
3311120121221 = 112311996536793
BaseRepresentation
bin110000001011101110001…
…000110111110110000101
3102201112120122122222202202
4300023232020313312011
5413222133222334341
611013035123244245
7461135433440063
oct60135610676605
912645518588682
103311120121221
111067268a95700
12455873519685
131b03114232a3
14b638ac57033
155b1e32bd79b
hex302ee237d85

3311120121221 has 48 divisors (see below), whose sum is σ = 3782116531200. Its totient is φ = 2893506105600.

The previous prime is 3311120121209. The next prime is 3311120121241. The reversal of 3311120121221 is 1221210211133.

3311120121221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-3311120121221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3311120121193 and 3311120121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311120121241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487427801 + ... + 487434593.

It is an arithmetic number, because the mean of its divisors is an integer number (78794094400).

Almost surely, 23311120121221 is an apocalyptic number.

3311120121221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3311120121221 is a deficient number, since it is larger than the sum of its proper divisors (470996409979).

3311120121221 is a wasteful number, since it uses less digits than its factorization.

3311120121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 3311120121221 its reverse (1221210211133), we get a palindrome (4532330332354).

The spelling of 3311120121221 in words is "three trillion, three hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 11 31 121 199 341 653 2189 3751 6169 6793 7183 20243 24079 67859 74723 79013 129947 210583 222673 746449 821953 1351807 1429417 2316413 2449403 4028357 4435829 14869877 15723587 25480543 41906017 44311927 48794119 137510699 163568647 460966187 487431197 536735309 882729971 1512617689 5070628057 9710029681 16638794579 27364629101 106810326491 301010920111 3311120121221