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213012444414 = 2371113131111317
BaseRepresentation
bin1100011001100010000…
…1111111010011111110
3202100211012111100111010
43012120201333103332
511442222141210124
6241505003540050
721250434621510
oct3063041772376
9670735440433
10213012444414
1182379a762a0
123534952a626
131711915a223
14a44a369bb0
15581aa33529
hex319887f4fe

213012444414 has 128 divisors (see below), whose sum is σ = 536970829824. Its totient is φ = 54724176000.

The previous prime is 213012444401. The next prime is 213012444451. The reversal of 213012444414 is 414444210312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18816684 + ... + 18828000.

It is an arithmetic number, because the mean of its divisors is an integer number (4195084608).

Almost surely, 2213012444414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213012444414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268485414912).

213012444414 is an abundant number, since it is smaller than the sum of its proper divisors (323958385410).

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

213012444414 is a wasteful number, since it uses less digits than its factorization.

213012444414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11782.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 213012444414 its reverse (414444210312), we get a palindrome (627456654726).

The spelling of 213012444414 in words is "two hundred thirteen billion, twelve million, four hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 131 154 231 262 311 393 462 622 786 917 933 1441 1834 1866 2177 2751 2882 3421 4323 4354 5502 6531 6842 8646 10087 10263 11317 13062 20174 20526 22634 23947 30261 33951 40741 47894 60522 67902 71841 79219 81482 122223 124487 143682 158438 237657 244446 248974 285187 373461 448151 475314 570374 746922 855561 871409 896302 1344453 1482527 1711122 1742818 2614227 2688906 2965054 3137057 3519587 4447581 5228454 6274114 7039174 8895162 9411171 10377689 10558761 16307797 18822342 20755378 21117522 24637109 31133067 32615594 38715457 48923391 49274218 62266134 73911327 77430914 97846782 114154579 116146371 147822654 228309158 232292742 271008199 342463737 461065897 542016398 684927474 813024597 922131794 1383197691 1626049194 2766395382 3227461279 5071724867 6454922558 9682383837 10143449734 15215174601 19364767674 30430349202 35502074069 71004148138 106506222207 213012444414