Search a number
-
+
1021000266 = 2321113795021
BaseRepresentation
bin111100110110110…
…011101001001010
32122011012012001200
4330312303221022
54042334002031
6245151325030
734205234106
oct7466635112
92564165050
101021000266
11484367680
12245b20776
131336b0990
1499856906
155e97d8e6
hex3cdb3a4a

1021000266 has 96 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 281923200.

The previous prime is 1021000261. The next prime is 1021000319. The reversal of 1021000266 is 6620001201.

It is a happy number.

1021000266 is a nontrivial binomial coefficient, being equal to C(45189, 2).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1021000261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200836 + ... + 205856.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 21021000266 is an apocalyptic number.

1021000266 is the 45188-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021000266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

1021000266 is an abundant number, since it is smaller than the sum of its proper divisors (1611331254).

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

1021000266 is a wasteful number, since it uses less digits than its factorization.

1021000266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1021000266 is about 31953.0947796923. The cubic root of 1021000266 is about 1006.9516512313.

Adding to 1021000266 its reverse (6620001201), we get a palindrome (7641001467).

The spelling of 1021000266 in words is "one billion, twenty-one million, two hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 79 99 117 143 158 198 234 237 286 429 474 711 858 869 1027 1287 1422 1738 2054 2574 2607 3081 5021 5214 6162 7821 9243 10042 11297 15063 15642 18486 22594 30126 33891 45189 55231 65273 67782 90378 101673 110462 130546 165693 195819 203346 331386 391638 396659 497079 587457 718003 793318 994158 1174914 1189977 1436006 2154009 2379954 3569931 4308018 4363249 5156567 6462027 7139862 8726498 10313134 12924054 13089747 15469701 26179494 30939402 39269241 46409103 56722237 78538482 92818206 113444474 170166711 340333422 510500133 1021000266