Search a number
-
+
133200221333031 = 341644447176951
BaseRepresentation
bin11110010010010100010111…
…111000000110011000100111
3122110121211001110001010120000
4132102110113320012120213
5114424323023130124111
61151143200435312343
740025253441210426
oct3622242770063047
9573554043033500
10133200221333031
1139494995468966
1212b3311874b6b3
13594295b21a638
1424c6cd470d2bd
15105ec9b8d1c56
hex792517e06627

133200221333031 has 10 divisors (see below), whose sum is σ = 198978108411192. Its totient is φ = 88800147555300.

The previous prime is 133200221333017. The next prime is 133200221333077. The reversal of 133200221333031 is 130333122002331.

133200221333031 is a `hidden beast` number, since 1 + 3 + 3 + 200 + 22 + 133 + 303 + 1 = 666.

It is not a de Polignac number, because 133200221333031 - 222 = 133200217138727 is a prime.

It is a super-2 number, since 2×1332002213330312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133200221332986 and 133200221333004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133200221335031) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 822223588395 + ... + 822223588556.

Almost surely, 2133200221333031 is an apocalyptic number.

133200221333031 is a deficient number, since it is larger than the sum of its proper divisors (65777887078161).

133200221333031 is an equidigital number, since it uses as much as digits as its factorization.

133200221333031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644447176963 (or 1644447176954 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133200221333031 its reverse (130333122002331), we get a palindrome (263533343335362).

The spelling of 133200221333031 in words is "one hundred thirty-three trillion, two hundred billion, two hundred twenty-one million, three hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 27 81 1644447176951 4933341530853 14800024592559 44400073777677 133200221333031