Search a number
-
+
211332233333 = 13232659265813
BaseRepresentation
bin1100010011010001100…
…0011111100001110101
3202012111002212210012002
43010310120133201311
511430302022431313
6241030143105045
721161003226104
oct3046430374165
9665432783162
10211332233333
11816975998a1
1234b5a8a2185
1316c0c01bca0
14a32b15603b
15576d28d058
hex313461f875

211332233333 has 16 divisors (see below), whose sum is σ = 237573920640. Its totient is φ = 186523470144.

The previous prime is 211332233309. The next prime is 211332233377. The reversal of 211332233333 is 333332233112.

211332233333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211332233333 - 222 = 211328039029 is a prime.

It is a super-2 number, since 2×2113322333332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211332233296 and 211332233305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211332233303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662135 + ... + 927947.

It is an arithmetic number, because the mean of its divisors is an integer number (14848370040).

Almost surely, 2211332233333 is an apocalyptic number.

211332233333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211332233333 is a deficient number, since it is larger than the sum of its proper divisors (26241687307).

211332233333 is a wasteful number, since it uses less digits than its factorization.

211332233333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268508.

The product of its digits is 17496, while the sum is 29.

Adding to 211332233333 its reverse (333332233112), we get a palindrome (544664466445).

The spelling of 211332233333 in words is "two hundred eleven billion, three hundred thirty-two million, two hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 13 23 299 2659 34567 61157 265813 795041 3455569 6113699 79478087 706796767 9188357971 16256325641 211332233333