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201431310 = 23559317359
BaseRepresentation
bin11000000000110…
…01100100001110
3112001000202210220
430000121210032
5403031300220
631553212210
74664065203
oct1400314416
9461022726
10201431310
11a3780363
1257561066
1332968932
141ca75caa
1512a3d540
hexc01990e

201431310 has 64 divisors (see below), whose sum is σ = 494553600. Its totient is φ = 52491392.

The previous prime is 201431287. The next prime is 201431311. The reversal of 201431310 is 13134102.

It is a super-2 number, since 2×2014313102 = 81149145296632200, 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 201431310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201431311) 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, 560911 + ... + 561269.

It is an arithmetic number, because the mean of its divisors is an integer number (7727400).

Almost surely, 2201431310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201431310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247276800).

201431310 is an abundant number, since it is smaller than the sum of its proper divisors (293122290).

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

201431310 is a wasteful number, since it uses less digits than its factorization.

201431310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745.

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

The square root of 201431310 is about 14192.6498582893. The cubic root of 201431310 is about 586.1952914852.

Adding to 201431310 its reverse (13134102), we get a palindrome (214565412).

The spelling of 201431310 in words is "two hundred one million, four hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 317 354 359 590 634 718 885 951 1077 1585 1770 1795 1902 2154 3170 3590 4755 5385 9510 10770 18703 21181 37406 42362 56109 63543 93515 105905 112218 113803 127086 187030 211810 227606 280545 317715 341409 561090 569015 635430 682818 1138030 1707045 3414090 6714377 13428754 20143131 33571885 40286262 67143770 100715655 201431310