Search a number
-
+
210132023013 = 33114188319543
BaseRepresentation
bin1100001110110011011…
…0000011011011100101
3202002101110110210011000
43003230312003123211
511420322244214023
6240311110303513
721116160503463
oct3035466033345
9662343423130
10210132023013
118113105a040
1234884957b99
1316a7a482b73
14a2559ad833
1556ecc10243
hex30ecd836e5

210132023013 has 64 divisors (see below), whose sum is σ = 348302223360. Its totient is φ = 124099516800.

The previous prime is 210132023009. The next prime is 210132023027. The reversal of 210132023013 is 310320231012.

210132023013 is a `hidden beast` number, since 2 + 101 + 320 + 230 + 13 = 666.

It is not a de Polignac number, because 210132023013 - 22 = 210132023009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210132023083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10742520 + ... + 10762062.

It is an arithmetic number, because the mean of its divisors is an integer number (5442222240).

Almost surely, 2210132023013 is an apocalyptic number.

It is an amenable number.

210132023013 is a deficient number, since it is larger than the sum of its proper divisors (138170200347).

210132023013 is a wasteful number, since it uses less digits than its factorization.

210132023013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20487 (or 20481 counting only the distinct ones).

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

Adding to 210132023013 its reverse (310320231012), we get a palindrome (520452254025).

The spelling of 210132023013 in words is "two hundred ten billion, one hundred thirty-two million, twenty-three thousand, thirteen".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 883 1107 1353 2649 4059 7947 9713 12177 19543 23841 29139 36203 58629 87417 108609 175887 214973 262251 325827 398233 527661 644919 801263 977481 1194699 1934757 2403789 3584097 5804271 7211367 8813893 10752291 17256469 21634101 26441679 51769407 79325037 155308221 189821159 237975111 465924663 569463477 707515229 1708390431 2122545687 5125171293 6367637061 7782667519 19102911183 23348002557 70044007671 210132023013