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213424034430 = 23573149654053
BaseRepresentation
bin1100011011000100010…
…0000101001001111110
3202101212212222021211210
43012301010011021332
511444043023100210
6242013505425250
721263563234425
oct3066104051176
9671785867753
10213424034430
1182570337a32
123544333b226
13171834c9009
14a488caa2bc
155841c35e20
hex31b110527e

213424034430 has 64 divisors (see below), whose sum is σ = 522719956800. Its totient is φ = 55756624896.

The previous prime is 213424034419. The next prime is 213424034471. The reversal of 213424034430 is 34430424312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717 + ... + 653336.

It is an arithmetic number, because the mean of its divisors is an integer number (8167499325).

Almost surely, 2213424034430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213424034430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261359978400).

213424034430 is an abundant number, since it is smaller than the sum of its proper divisors (309295922370).

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

213424034430 is a wasteful number, since it uses less digits than its factorization.

213424034430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654285.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 213424034430 its reverse (34430424312), we get a palindrome (247854458742).

The spelling of 213424034430 in words is "two hundred thirteen billion, four hundred twenty-four million, thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 149 219 298 365 438 447 730 745 894 1095 1490 2190 2235 4470 10877 21754 32631 54385 65262 108770 163155 326310 654053 1308106 1962159 3270265 3924318 6540530 9810795 19621590 47745869 95491738 97453897 143237607 194907794 238729345 286475214 292361691 477458690 487269485 584723382 716188035 974538970 1432376070 1461808455 2923616910 7114134481 14228268962 21342403443 35570672405 42684806886 71141344810 106712017215 213424034430