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213030324 = 22351323733
BaseRepresentation
bin11001011001010…
…01010110110100
3112211212001200000
430230221112310
5414013432244
633045551300
75164504443
oct1454512664
9484761600
10213030324
11aa282921
125b415530
133519a260
1420414d5a
1513a80169
hexcb295b4

213030324 has 144 divisors (see below), whose sum is σ = 628397952. Its totient is φ = 62612352.

The previous prime is 213030313. The next prime is 213030331. The reversal of 213030324 is 423030312.

213030324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 213030297 and 213030306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290262 + ... + 290994.

Almost surely, 2213030324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213030324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314198976).

213030324 is an abundant number, since it is smaller than the sum of its proper divisors (415367628).

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

213030324 is a wasteful number, since it uses less digits than its factorization.

213030324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213030324 is about 14595.5583654754. The cubic root of 213030324 is about 597.2376014417.

Adding to 213030324 its reverse (423030312), we get a palindrome (636060636).

The spelling of 213030324 in words is "two hundred thirteen million, thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 81 92 108 117 138 156 162 207 234 243 276 299 324 351 414 468 486 598 621 702 733 828 897 972 1053 1196 1242 1404 1466 1794 1863 2106 2199 2484 2691 2932 3159 3588 3726 4212 4398 5382 5589 6318 6597 7452 8073 8796 9529 10764 11178 12636 13194 16146 16859 19058 19791 22356 24219 26388 28587 32292 33718 38116 39582 48438 50577 57174 59373 67436 72657 79164 85761 96876 101154 114348 118746 145314 151731 171522 178119 202308 219167 237492 257283 290628 303462 343044 356238 438334 455193 514566 606924 657501 712476 771849 876668 910386 1029132 1315002 1365579 1543698 1820772 1972503 2315547 2630004 2731158 3087396 3945006 4096737 4631094 5462316 5917509 7890012 8193474 9262188 11835018 16386948 17752527 23670036 35505054 53257581 71010108 106515162 213030324