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201313014 = 23717437983
BaseRepresentation
bin10111111111111…
…00101011110110
3112000210202112120
423333330223312
5403014004024
631550500410
74663063260
oct1377745366
9460722476
10201313014
11a36aa4a1
1257504706
1332926b36
141ca44b30
1512a18479
hexbffcaf6

201313014 has 128 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 51577344.

The previous prime is 201313001. The next prime is 201313019. The reversal of 201313014 is 410313102.

201313014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201312984 and 201313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201313019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2425417 + ... + 2425499.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2201313014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201313014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

201313014 is an abundant number, since it is smaller than the sum of its proper divisors (309622026).

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

201313014 is a wasteful number, since it uses less digits than its factorization.

201313014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 201313014 is about 14188.4817369583. The cubic root of 201313014 is about 586.0805159861.

Adding to 201313014 its reverse (410313102), we get a palindrome (611626116).

The spelling of 201313014 in words is "two hundred one million, three hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 79 83 86 102 119 129 158 166 237 238 249 258 301 357 474 498 553 581 602 714 731 903 1106 1162 1343 1411 1462 1659 1743 1806 2193 2686 2822 3318 3397 3486 3569 4029 4233 4386 5117 6557 6794 7138 8058 8466 9401 9877 10191 10234 10707 13114 15351 18802 19671 19754 20382 21414 23779 24983 28203 29631 30702 39342 45899 47558 49966 56406 57749 59262 60673 71337 74949 91798 111469 115498 121346 137697 142674 149898 173247 182019 222938 275394 281951 334407 346494 364038 404243 424711 563902 668814 780283 808486 845853 849422 1212729 1274133 1560566 1691706 1973657 2340849 2425458 2548266 3947314 4681698 4793167 5920971 9586334 11841942 14379501 28759002 33552169 67104338 100656507 201313014