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202120133013 = 32172251586871
BaseRepresentation
bin1011110000111101001…
…1000111100110010101
3201022201002200121020100
42330033103013212111
511302420223224023
6232504103524313
720413503532551
oct2741723074625
9638632617210
10202120133013
117879a600547
1233209759699
13160a1638b56
149ad58cc861
1553ce666c43
hex2f0f4c7995

202120133013 has 24 divisors (see below), whose sum is σ = 309262764096. Its totient is φ = 126763920000.

The previous prime is 202120133009. The next prime is 202120133029. The reversal of 202120133013 is 310331021202.

202120133013 is a `hidden beast` number, since 202 + 120 + 1 + 330 + 13 = 666.

It is not a de Polignac number, because 202120133013 - 22 = 202120133009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120133113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50968 + ... + 637838.

It is an arithmetic number, because the mean of its divisors is an integer number (12885948504).

Almost surely, 2202120133013 is an apocalyptic number.

It is an amenable number.

202120133013 is a deficient number, since it is larger than the sum of its proper divisors (107142631083).

202120133013 is a wasteful number, since it uses less digits than its factorization.

202120133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589145 (or 589142 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 202120133013 its reverse (310331021202), we get a palindrome (512451154215).

The spelling of 202120133013 in words is "two hundred two billion, one hundred twenty million, one hundred thirty-three thousand, thirteen".

Divisors: 1 3 9 17 51 153 2251 6753 20259 38267 114801 344403 586871 1760613 5281839 9976807 29930421 89791263 1321046621 3963139863 11889419589 22457792557 67373377671 202120133013