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213023113110 = 233529239311369
BaseRepresentation
bin1100011001100100101…
…0101011111110010110
3202100211221120101012000
43012121022223332112
511442232404104420
6241510024340130
721250624404543
oct3063112537626
9670757511160
10213023113110
1182384aa28a5
1235351014646
131711b424272
14a44b945bca
15581b93e690
hex31992abf96

213023113110 has 128 divisors (see below), whose sum is σ = 587947248000. Its totient is φ = 54819588096.

The previous prime is 213023113057. The next prime is 213023113111. The reversal of 213023113110 is 11311320312.

213023113110 is a `hidden beast` number, since 21 + 302 + 31 + 1 + 311 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213023113111) 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, 18731506 + ... + 18742874.

It is an arithmetic number, because the mean of its divisors is an integer number (4593337875).

Almost surely, 2213023113110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213023113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293973624000).

213023113110 is an abundant number, since it is smaller than the sum of its proper divisors (374924134890).

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

213023113110 is a wasteful number, since it uses less digits than its factorization.

213023113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213023113110 its reverse (11311320312), we get a palindrome (224334433422).

The spelling of 213023113110 in words is "two hundred thirteen billion, twenty-three million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2393 2610 3915 4786 7179 7830 11369 11965 14358 21537 22738 23930 34107 35895 43074 56845 64611 68214 69397 71790 102321 107685 113690 129222 138794 170535 204642 208191 215370 306963 323055 329701 341070 346985 416382 511605 613926 624573 646110 659402 693970 989103 1023210 1040955 1249146 1534815 1648505 1873719 1978206 2081910 2967309 3069630 3122865 3297010 3747438 4945515 5934618 6245730 8901927 9368595 9891030 14836545 17803854 18737190 27206017 29673090 44509635 54412034 81618051 89019270 136030085 163236102 244854153 272060170 408090255 489708306 734562459 788974493 816180510 1224270765 1469124918 1577948986 2366923479 2448541530 3672812295 3944872465 4733846958 7100770437 7345624590 7889744930 11834617395 14201540874 21302311311 23669234790 35503852185 42604622622 71007704370 106511556555 213023113110