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213115014 = 23272475397
BaseRepresentation
bin11001011001111…
…10000010000110
3112212000100211200
430230332002012
5414024140024
633051443330
75165306400
oct1454760206
9485010750
10213115014
11aa330512
125b456546
13351c9978
1420437b70
1513a9a2c9
hexcb3e086

213115014 has 144 divisors (see below), whose sum is σ = 564677568. Its totient is φ = 57867264.

The previous prime is 213115013. The next prime is 213115031. The reversal of 213115014 is 410511312.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213115013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2197014 + ... + 2197110.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2213115014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213115014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282338784).

213115014 is an abundant number, since it is smaller than the sum of its proper divisors (351562554).

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

213115014 is a wasteful number, since it uses less digits than its factorization.

213115014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 213115014 is about 14598.4593022689. The cubic root of 213115014 is about 597.3167347004.

Adding to 213115014 its reverse (410511312), we get a palindrome (623626326).

The spelling of 213115014 in words is "two hundred thirteen million, one hundred fifteen thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 53 63 94 97 98 106 126 141 147 159 194 282 291 294 318 329 371 423 441 477 582 658 679 742 846 873 882 954 987 1113 1358 1746 1974 2037 2226 2303 2491 2597 2961 3339 4074 4559 4606 4753 4982 5141 5194 5922 6111 6678 6909 7473 7791 9118 9506 10282 12222 13677 13818 14259 14946 15423 15582 17437 20727 22419 23373 27354 28518 30846 31913 34874 35987 41031 41454 42777 44838 46269 46746 52311 63826 71974 82062 85554 92538 95739 104622 107961 122059 156933 191478 215922 223391 241627 244118 251909 287217 313866 323883 366177 446782 483254 503818 574434 647766 670173 724881 732354 755727 1098531 1340346 1449762 1511454 1691389 2010519 2174643 2197062 2267181 3382778 4021038 4349286 4534362 5074167 10148334 11839723 15222501 23679446 30445002 35519169 71038338 106557507 213115014