Search a number
-
+
233113013102222 = 21146755760796701
BaseRepresentation
bin110101000000001111011010…
…010101101010011010001110
31010120101101102200200112002022
4311000033122111222122032
5221023310422323232342
62143442350111130142
7100046600530544141
oct6500173225523216
91116341380615068
10233113013102222
116830574571a510
122218aa44513952
13a00c602a49036
14417ca31304058
151be3c0ee859d2
hexd403da56a68e

233113013102222 has 64 divisors (see below), whose sum is σ = 383080949821440. Its totient is φ = 105510627696000.

The previous prime is 233113013102201. The next prime is 233113013102323. The reversal of 233113013102222 is 222201310311332.

It is a junction number, because it is equal to n+sod(n) for n = 233113013102191 and 233113013102200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34787791472 + ... + 34787798172.

It is an arithmetic number, because the mean of its divisors is an integer number (5985639840960).

Almost surely, 2233113013102222 is an apocalyptic number.

233113013102222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

233113013102222 is a deficient number, since it is larger than the sum of its proper divisors (149967936719218).

233113013102222 is a wasteful number, since it uses less digits than its factorization.

233113013102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 233113013102222 its reverse (222201310311332), we get a palindrome (455314323413554).

The spelling of 233113013102222 in words is "two hundred thirty-three trillion, one hundred thirteen billion, thirteen million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 11 22 467 557 934 1114 5137 6079 6127 6701 10274 12158 12254 13402 66869 73711 133738 147422 260119 520238 2838893 2861309 3129367 3386003 3732457 5677786 5722618 6258734 6772006 7464914 31227823 34423037 37246033 40735379 41057027 62455646 68846074 74492066 81470758 82114054 448089169 896178338 1581263401 1743057419 3162526802 3486114838 17393897411 19023421993 19173631609 22689606103 34787794822 38046843986 38347263218 45379212206 209257641923 249585667133 418515283846 499171334266 10596046050101 21192092100202 116556506551111 233113013102222