Search a number
-
+
332002113202033 = 65913212711140677
BaseRepresentation
bin100101101111101000100010…
…0000001011010011101110001
31121112112002111002211222112021
41023133101010001122131301
5322004010311434431113
63134035355405431441
7126634234602455251
oct11337210401323561
91545462432758467
10332002113202033
119687133a69731a
12312a0297b6b581
1311333884b39421
145bdadb9197961
15285b20bdd948d
hex12df44405a771

332002113202033 has 16 divisors (see below), whose sum is σ = 332882727534720. Its totient is φ = 331122831177600.

The previous prime is 332002113201973. The next prime is 332002113202051. The reversal of 332002113202033 is 330202311200233.

It is a cyclic number.

It is not a de Polignac number, because 332002113202033 - 237 = 331864674248561 is a prime.

It is a super-2 number, since 2×3320021132020332 (a number of 30 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 = 332002113201989 and 332002113202007.

It is not an unprimeable number, because it can be changed into a prime (332002113232033) 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 15 ways as a sum of consecutive naturals, for example, 2359960891 + ... + 2360101567.

It is an arithmetic number, because the mean of its divisors is an integer number (20805170470920).

Almost surely, 2332002113202033 is an apocalyptic number.

It is an amenable number.

332002113202033 is a deficient number, since it is larger than the sum of its proper divisors (880614332687).

332002113202033 is a wasteful number, since it uses less digits than its factorization.

332002113202033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145368.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 332002113202033 its reverse (330202311200233), we get a palindrome (662204424402266).

The spelling of 332002113202033 in words is "three hundred thirty-two trillion, two billion, one hundred thirteen million, two hundred two thousand, thirty-three".

Divisors: 1 659 1321 2711 140677 870539 1786549 3581231 92706143 185834317 381375347 2360031229 122464814903 251326353673 503796833387 332002113202033