Search a number
-
+
11303220330 = 235516328537
BaseRepresentation
bin10101000011011100…
…10111010001101010
31002011202000002100000
422201232113101222
5141122111022310
65105335123430
7550050534063
oct124156272152
932152002300
1011303220330
114880411806
122235513576
1310b19b216c
1479328156a
154624d74c0
hex2a1b9746a

11303220330 has 96 divisors (see below), whose sum is σ = 30664880064. Its totient is φ = 2995595136.

The previous prime is 11303220319. The next prime is 11303220337. The reversal of 11303220330 is 3302230311.

11303220330 is a `hidden beast` number, since 1 + 13 + 0 + 322 + 0 + 330 = 666.

11303220330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11303220337) 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, 381822 + ... + 410358.

It is an arithmetic number, because the mean of its divisors is an integer number (319425834).

Almost surely, 211303220330 is an apocalyptic number.

11303220330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11303220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332440032).

11303220330 is an abundant number, since it is smaller than the sum of its proper divisors (19361659734).

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

11303220330 is a wasteful number, since it uses less digits than its factorization.

11303220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28722 (or 28710 counting only the distinct ones).

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

Adding to 11303220330 its reverse (3302230311), we get a palindrome (14605450641).

The spelling of 11303220330 in words is "eleven billion, three hundred three million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 163 243 270 326 405 486 489 810 815 978 1215 1467 1630 2430 2445 2934 4401 4890 7335 8802 13203 14670 22005 26406 28537 39609 44010 57074 66015 79218 85611 132030 142685 171222 198045 256833 285370 396090 428055 513666 770499 856110 1284165 1540998 2311497 2568330 3852495 4622994 4651531 6934491 7704990 9303062 11557485 13868982 13954593 23114970 23257655 27909186 34672455 41863779 46515310 69344910 69772965 83727558 125591337 139545930 209318895 251182674 376774011 418637790 627956685 753548022 1130322033 1255913370 1883870055 2260644066 3767740110 5651610165 11303220330