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213000230352 = 243713151322939
BaseRepresentation
bin1100011001011111001…
…1011001010111010000
3202100210100111210221110
43012113303121113100
511442211024332402
6241503450053320
721250226041140
oct3062763312720
9670710453843
10213000230352
1182373093728
123534541a240
1317116771980
14a4488aa920
15581991e56c
hex3197cd95d0

213000230352 has 160 divisors (see below), whose sum is σ = 681718589440. Its totient is φ = 55803686400.

The previous prime is 213000230273. The next prime is 213000230353. The reversal of 213000230352 is 253032000312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000230353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498099 + ... + 821037.

It is an arithmetic number, because the mean of its divisors is an integer number (4260741184).

Almost surely, 2213000230352 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 213000230352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340859294720).

213000230352 is an abundant number, since it is smaller than the sum of its proper divisors (468718359088).

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

213000230352 is a wasteful number, since it uses less digits than its factorization.

213000230352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323121 (or 323115 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 213000230352 its reverse (253032000312), we get a palindrome (466032230664).

The spelling of 213000230352 in words is "two hundred thirteen billion, two hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 151 156 168 182 208 273 302 312 336 364 453 546 604 624 728 906 1057 1092 1208 1456 1812 1963 2114 2184 2416 3171 3624 3926 4228 4368 5889 6342 7248 7852 8456 11778 12684 13741 15704 16912 23556 25368 27482 31408 41223 47112 50736 54964 82446 94224 109928 164892 219856 322939 329784 645878 659568 968817 1291756 1937634 2260573 2583512 3875268 4198207 4521146 5167024 6781719 7750536 8396414 9042292 12594621 13563438 15501072 16792828 18084584 25189242 27126876 29387449 33585656 36169168 48763789 50378484 54253752 58774898 67171312 88162347 97527578 100756968 108507504 117549796 146291367 176324694 195055156 201513936 235099592 292582734 341346523 352649388 390110312 470199184 585165468 633929257 682693046 705298776 780220624 1024039569 1170330936 1267858514 1365386092 1410597552 1901787771 2048079138 2340661872 2535717028 2730772184 3803575542 4096158276 4437504799 5071434056 5461544368 7607151084 8192316552 8875009598 10142868112 13312514397 15214302168 16384633104 17750019196 26625028794 30428604336 35500038392 53250057588 71000076784 106500115176 213000230352