Search a number
-
+
1313021002212 = 223236472805617
BaseRepresentation
bin10011000110110110001…
…001101000000111100100
311122112010200122220022100
4103012312021220013210
5133003031334032322
62443105444532100
7163601612241063
oct23066611500744
94575120586270
101313021002212
11466938141947
121925800b1030
1396a8194078a
144779ca201da
152424c124dac
hex131b62681e4

1313021002212 has 18 divisors (see below), whose sum is σ = 3319025311238. Its totient is φ = 437673667392.

The previous prime is 1313021002193. The next prime is 1313021002217. The reversal of 1313021002212 is 2122001203131.

1313021002212 is a `hidden beast` number, since 131 + 302 + 10 + 0 + 221 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 786084384996 + 526936617216 = 886614^2 + 725904^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (1313021002217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18236402773 + ... + 18236402844.

Almost surely, 21313021002212 is an apocalyptic number.

1313021002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313021002212 is an abundant number, since it is smaller than the sum of its proper divisors (2006004309026).

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

1313021002212 is a wasteful number, since it uses less digits than its factorization.

1313021002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36472805627 (or 36472805622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1313021002212 its reverse (2122001203131), we get a palindrome (3435022205343).

The spelling of 1313021002212 in words is "one trillion, three hundred thirteen billion, twenty-one million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 36472805617 72945611234 109418416851 145891222468 218836833702 328255250553 437673667404 656510501106 1313021002212