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33420301333 = 9712711512357
BaseRepresentation
bin11111001000000000…
…010101010000010101
310012021010012012202021
4133020000111100111
51021421044120313
623204133013141
72262120605566
oct371000252025
9105233165667
1033420301333
111319a986051
1265884841b1
1331c7b78543
1418907bc16d
15d0904178d
hex7c8015415

33420301333 has 16 divisors (see below), whose sum is σ = 34074722304. Its totient is φ = 32772902400.

The previous prime is 33420301303. The next prime is 33420301391. The reversal of 33420301333 is 33310302433.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33420301333 is a prime.

It is a super-2 number, since 2×334203013332 (a number of 22 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 = 33420301298 and 33420301307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33420301303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14177991 + ... + 14180347.

It is an arithmetic number, because the mean of its divisors is an integer number (2129670144).

Almost surely, 233420301333 is an apocalyptic number.

It is an amenable number.

33420301333 is a deficient number, since it is larger than the sum of its proper divisors (654420971).

33420301333 is a wasteful number, since it uses less digits than its factorization.

33420301333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 33420301333 its reverse (33310302433), we get a palindrome (66730603766).

The spelling of 33420301333 in words is "thirty-three billion, four hundred twenty million, three hundred one thousand, three hundred thirty-three".

Divisors: 1 97 127 1151 2357 12319 111647 146177 228629 299339 2712907 14179169 29035883 263151979 344539189 33420301333