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201314310 = 235193111393
BaseRepresentation
bin10111111111111…
…01000000000110
3112000210211022120
423333331000012
5403014024220
631550510410
74663100121
oct1377750006
9460724276
10201314310
11a370046a
1257505406
13329275c2
141ca453b8
1512a18a40
hexbffd006

201314310 has 64 divisors (see below), whose sum is σ = 525035520. Its totient is φ = 49213440.

The previous prime is 201314303. The next prime is 201314369. The reversal of 201314310 is 13413102.

201314310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2013143102 = 81054902821552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201314310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11974 + ... + 23366.

It is an arithmetic number, because the mean of its divisors is an integer number (8203680).

Almost surely, 2201314310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201314310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262517760).

201314310 is an abundant number, since it is smaller than the sum of its proper divisors (323721210).

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

201314310 is a wasteful number, since it uses less digits than its factorization.

201314310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11453.

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

The square root of 201314310 is about 14188.5274077333. The cubic root of 201314310 is about 586.0817736606.

Adding to 201314310 its reverse (13413102), we get a palindrome (214727412).

The spelling of 201314310 in words is "two hundred one million, three hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 8835 11393 17670 22786 34179 56965 68358 113930 170895 216467 341790 353183 432934 649401 706366 1059549 1082335 1298802 1765915 2119098 2164670 3247005 3531830 5297745 6494010 6710477 10595490 13420954 20131431 33552385 40262862 67104770 100657155 201314310