Search a number
-
+
33101331012 = 2232919481417
BaseRepresentation
bin11110110100111111…
…100011101001000100
310011102212222211201200
4132310333203221010
51020242420043022
623112340222500
72251165446141
oct366477435104
9104385884650
1033101331012
1113046924a12
1264b969aa30
133176a67bc9
1418602ab3c8
15cdb036bac
hex7b4fe3a44

33101331012 has 18 divisors (see below), whose sum is σ = 83672809038. Its totient is φ = 11033776992.

The previous prime is 33101330987. The next prime is 33101331059. The reversal of 33101331012 is 21013310133.

It is a happy number.

33101331012 is a `hidden beast` number, since 331 + 0 + 1 + 331 + 0 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17748634176 + 15352696836 = 133224^2 + 123906^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×331013310122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 459740673 + ... + 459740744.

It is an arithmetic number, because the mean of its divisors is an integer number (4648489391).

Almost surely, 233101331012 is an apocalyptic number.

It is an amenable number.

33101331012 is an abundant number, since it is smaller than the sum of its proper divisors (50571478026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33101331012 is a wasteful number, since it uses less digits than its factorization.

33101331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919481427 (or 919481422 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33101331012 its reverse (21013310133), we get a palindrome (54114641145).

The spelling of 33101331012 in words is "thirty-three billion, one hundred one million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 919481417 1838962834 2758444251 3677925668 5516888502 8275332753 11033777004 16550665506 33101331012