Search a number
-
+
132330022132333 = 6713728350942069
BaseRepresentation
bin11110000101101001111011…
…111101100101101001101101
3122100112121220202201111201011
4132011221323331211221231
5114321043341131213313
61145235323430345221
736605346211100614
oct3605517375455155
9570477822644634
10132330022132333
1139189935725723
1212a125407bb211
1358ab88a78c0ac
142496b4311a87b
15104731a78193d
hex785a7bf65a6d

132330022132333 has 16 divisors (see below), whose sum is σ = 135763469305920. Its totient is φ = 128946192667776.

The previous prime is 132330022132279. The next prime is 132330022132391. The reversal of 132330022132333 is 333231220033231.

It is a cyclic number.

It is not a de Polignac number, because 132330022132333 - 237 = 132192583178861 is a prime.

It is a super-2 number, since 2×1323300221323332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132330022132295 and 132330022132304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330022132433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22873378 + ... + 28068691.

It is an arithmetic number, because the mean of its divisors is an integer number (8485216831620).

Almost surely, 2132330022132333 is an apocalyptic number.

It is an amenable number.

132330022132333 is a deficient number, since it is larger than the sum of its proper divisors (3433447173587).

132330022132333 is a wasteful number, since it uses less digits than its factorization.

132330022132333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50942556.

The product of its (nonzero) digits is 34992, while the sum is 31.

Adding to 132330022132333 its reverse (333231220033231), we get a palindrome (465561242165564).

The spelling of 132330022132333 in words is "one hundred thirty-two trillion, three hundred thirty billion, twenty-two million, one hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 67 137 283 9179 18961 38771 2597657 50942069 3413118623 6979063453 14416605527 467597251351 965912570309 1975074957199 132330022132333