Search a number
-
+
133223322331 = 1147267796259
BaseRepresentation
bin111110000010010111…
…0101001001011011011
3110201212120011222121101
41330010232221023123
54140320132303311
6141111342052231
712424253361361
oct1740456511333
9421776158541
10133223322331
1151555101990
12219a027a077
13c74191aa58
14663b605631
1536ead1bec1
hex1f04ba92db

133223322331 has 16 divisors (see below), whose sum is σ = 148483745280. Its totient is φ = 118489747680.

The previous prime is 133223322319. The next prime is 133223322347.

133223322331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 133223322331 - 27 = 133223322203 is a prime.

It is a super-2 number, since 2×1332233223312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133223322331.

It is not an unprimeable number, because it can be changed into a prime (133223622331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335880 + ... + 1432138.

It is an arithmetic number, because the mean of its divisors is an integer number (9280234080).

Almost surely, 2133223322331 is an apocalyptic number.

133223322331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133223322331 is a deficient number, since it is larger than the sum of its proper divisors (15260422949).

133223322331 is a wasteful number, since it uses less digits than its factorization.

133223322331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98994.

The product of its digits is 11664, while the sum is 28.

It can be divided in two parts, 133223 and 322331, that added together give a palindrome (455554).

The spelling of 133223322331 in words is "one hundred thirty-three billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 11 47 517 2677 29447 96259 125819 1058849 1384009 4524173 49765903 257685343 2834538773 12111211121 133223322331