Search a number
-
+
11300333022 = 23211237140227
BaseRepresentation
bin10101000011000110…
…10110010111011110
31002011112120101200200
422201203112113132
5141120341124042
65105153204330
7550014150216
oct124143262736
932145511620
1011300333022
11487981a500
1222345606a6
1310b1210bb4
14792b2d246
15462116c4c
hex2a18d65de

11300333022 has 72 divisors (see below), whose sum is σ = 27639780168. Its totient is φ = 3331769760.

The previous prime is 11300333003. The next prime is 11300333101. The reversal of 11300333022 is 22033300311.

11300333022 is a `hidden beast` number, since 11 + 300 + 3 + 330 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11300332986 and 11300333004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10473 + ... + 150699.

Almost surely, 211300333022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300333022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819890084).

11300333022 is an abundant number, since it is smaller than the sum of its proper divisors (16339447146).

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

11300333022 is a wasteful number, since it uses less digits than its factorization.

11300333022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140294 (or 140280 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11300333022 its reverse (22033300311), we get a palindrome (33333633333).

The spelling of 11300333022 in words is "eleven billion, three hundred million, three hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 1089 1221 2178 2442 3663 4477 7326 8954 13431 26862 40293 80586 140227 280454 420681 841362 1262043 1542497 2524086 3084994 4627491 5188399 9254982 10376798 13882473 15565197 16967467 27764946 31130394 33934934 46695591 50902401 57072389 93391182 101804802 114144778 152707203 171217167 305414406 342434334 513651501 627796279 1027303002 1255592558 1883388837 3766777674 5650166511 11300333022