Search a number
-
+
33232123101 = 3311791996283
BaseRepresentation
bin11110111100110010…
…011111010011011101
310011210000002202202010
4132330302133103131
51021024410414401
623133331421433
72254344246162
oct367462372335
9104700082663
1033232123101
1113103737a51
126535454879
133197ba0088
1418737d6069
15ce776eed6
hex7bcc9f4dd

33232123101 has 16 divisors (see below), whose sum is σ = 45994383360. Its totient is φ = 21320291760.

The previous prime is 33232123069. The next prime is 33232123121. The reversal of 33232123101 is 10132123233.

It is not a de Polignac number, because 33232123101 - 25 = 33232123069 is a prime.

It is a super-2 number, since 2×332321231012 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33232123121) 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, 981495 + ... + 1014788.

It is an arithmetic number, because the mean of its divisors is an integer number (2874648960).

Almost surely, 233232123101 is an apocalyptic number.

33232123101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33232123101 is a deficient number, since it is larger than the sum of its proper divisors (12762260259).

33232123101 is a wasteful number, since it uses less digits than its factorization.

33232123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996496.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33232123101 its reverse (10132123233), we get a palindrome (43364246334).

The spelling of 33232123101 in words is "thirty-three billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred one".

Divisors: 1 3 31 93 179 537 5549 16647 1996283 5988849 61884773 185654319 357334657 1072003971 11077374367 33232123101