Search a number
-
+
33312102101 = 9710310693119
BaseRepresentation
bin11111000001100011…
…100101011011010101
310011222120121010022022
4133001203211123111
51021210344231401
623145305542525
72256335124125
oct370143453325
9104876533268
1033312102101
11131448a43a3
1265581a4a45
1331ab623a25
141880294c85
15cee7bc71b
hex7c18e56d5

33312102101 has 16 divisors (see below), whose sum is σ = 34024972800. Its totient is φ = 32607595008.

The previous prime is 33312102073. The next prime is 33312102113. The reversal of 33312102101 is 10120121333.

It is a cyclic number.

It is not a de Polignac number, because 33312102101 - 226 = 33244993237 is a prime.

It is a super-2 number, since 2×333121021012 (a number of 22 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 33312102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33302102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10678820 + ... + 10681938.

It is an arithmetic number, because the mean of its divisors is an integer number (2126560800).

Almost surely, 233312102101 is an apocalyptic number.

It is an amenable number.

33312102101 is a deficient number, since it is larger than the sum of its proper divisors (712870699).

33312102101 is a wasteful number, since it uses less digits than its factorization.

33312102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 33312102101 its reverse (10120121333), we get a palindrome (43432223434).

The spelling of 33312102101 in words is "thirty-three billion, three hundred twelve million, one hundred two thousand, one hundred one".

Divisors: 1 97 103 1069 3119 9991 103693 110107 302543 321257 3334211 10680379 31161929 323418467 343423733 33312102101