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201303102 = 23711313277
BaseRepresentation
bin10111111111110…
…10010000111110
3112000210020221110
423333322100332
5403013144402
631550342450
74663022340
oct1377722076
9460706843
10201303102
11a36a3000
12574baa26
1332922480
141ca41290
1512a1556c
hexbffa43e

201303102 has 128 divisors (see below), whose sum is σ = 546997248. Its totient is φ = 48090240.

The previous prime is 201303101. The next prime is 201303127.

It is a happy number.

201303102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201303101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 726588 + ... + 726864.

It is an arithmetic number, because the mean of its divisors is an integer number (4273416).

Almost surely, 2201303102 is an apocalyptic number.

201303102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201303102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273498624).

201303102 is an abundant number, since it is smaller than the sum of its proper divisors (345694146).

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

201303102 is a wasteful number, since it uses less digits than its factorization.

201303102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 201303102 is about 14188.1324352432. The cubic root of 201303102 is about 586.0708969268.

It can be divided in two parts, 20130 and 3102, that added together give a palindrome (23232).

The spelling of 201303102 in words is "two hundred one million, three hundred three thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 277 286 363 429 462 546 554 726 831 847 858 1001 1331 1573 1662 1694 1939 2002 2541 2662 3003 3047 3146 3601 3878 3993 4719 5082 5817 6006 6094 7202 7986 9141 9317 9438 10803 11011 11634 17303 18282 18634 21329 21606 22022 25207 27951 33033 33517 34606 39611 42658 50414 51909 55902 63987 66066 67034 75621 79222 100551 103818 118833 121121 127974 151242 201102 234619 237666 242242 277277 363363 368687 435721 469238 554554 703857 726726 737374 831831 871442 1106061 1307163 1407714 1663662 2212122 2580809 2614326 3050047 4792931 5161618 6100094 7742427 9150141 9585862 14378793 15484854 18300282 28757586 33550517 67101034 100651551 201303102