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11333201130 = 23351719129953
BaseRepresentation
bin10101000111000001…
…01110110011101010
31002020211102021021000
422203200232303222
5141202244414010
65112325455430
7550563422466
oct124340566352
932224367230
1011333201130
114896329829
122243571576
1310b7c7b494
147972474a6
15464e5a7c0
hex2a382ecea

11333201130 has 128 divisors (see below), whose sum is σ = 33684076800. Its totient is φ = 2694684672.

The previous prime is 11333201129. The next prime is 11333201153. The reversal of 11333201130 is 3110233311.

It is a happy number.

11333201130 is a `hidden beast` number, since 1 + 1 + 333 + 201 + 130 = 666.

11333201130 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 a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22234 + ... + 152186.

It is an arithmetic number, because the mean of its divisors is an integer number (263156850).

Almost surely, 211333201130 is an apocalyptic number.

11333201130 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 11333201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842038400).

11333201130 is an abundant number, since it is smaller than the sum of its proper divisors (22350875670).

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

11333201130 is a wasteful number, since it uses less digits than its factorization.

11333201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130005 (or 129999 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11333201130 its reverse (3110233311), we get a palindrome (14443434441).

The spelling of 11333201130 in words is "eleven billion, three hundred thirty-three million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 270 285 306 323 342 459 510 513 570 646 765 855 918 969 1026 1530 1615 1710 1938 2295 2565 2907 3230 4590 4845 5130 5814 8721 9690 14535 17442 29070 43605 87210 129953 259906 389859 649765 779718 1169577 1299530 1949295 2209201 2339154 2469107 3508731 3898590 4418402 4938214 5847885 6627603 7017462 7407321 11046005 11695770 12345535 13255206 14814642 17543655 19882809 22092010 22221963 24691070 33138015 35087310 37036605 39765618 41974819 44443926 59648427 66276030 66665889 74073210 83949638 99414045 111109815 119296854 125924457 133331778 198828090 209874095 222219630 251848914 298242135 333329445 377773371 419748190 596484270 629622285 666658890 755546742 1133320113 1259244570 1888866855 2266640226 3777733710 5666600565 11333201130