Search a number
-
+
1132020132030 = 232523599912971
BaseRepresentation
bin10000011110010001101…
…010000110100010111110
311000012221102121000021200
4100132101222012202332
5122021334123211110
62224013132040330
7144533341234104
oct20362152064276
94005842530250
101132020132030
113a70a5942127
121634873030a6
1382997845c68
143cb0bd2bc74
151e6a6b176c0
hex10791a868be

1132020132030 has 96 divisors (see below), whose sum is σ = 3076350451200. Its totient is φ = 288264799680.

The previous prime is 1132020132017. The next prime is 1132020132049. The reversal of 1132020132030 is 302310202311.

1132020132030 is a `hidden beast` number, since 1 + 1 + 320 + 20 + 1 + 320 + 3 + 0 = 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 = 1132020131994 and 1132020132012.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 783445 + ... + 1696415.

It is an arithmetic number, because the mean of its divisors is an integer number (32045317200).

Almost surely, 21132020132030 is an apocalyptic number.

1132020132030 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 1132020132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538175225600).

1132020132030 is an abundant number, since it is smaller than the sum of its proper divisors (1944330319170).

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

1132020132030 is a wasteful number, since it uses less digits than its factorization.

1132020132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913606 (or 913603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1132020132030 its reverse (302310202311), we get a palindrome (1434330334341).

The spelling of 1132020132030 in words is "one trillion, one hundred thirty-two billion, twenty million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 599 690 1035 1198 1797 2070 2995 3594 5391 5990 8985 10782 13777 17970 26955 27554 41331 53910 68885 82662 123993 137770 206655 247986 413310 619965 912971 1239930 1825942 2738913 4564855 5477826 8216739 9129710 13694565 16433478 20998333 27389130 41083695 41996666 62994999 82167390 104991665 125989998 188984997 209983330 314974995 377969994 546869629 629949990 944924985 1093739258 1640608887 1889849970 2734348145 3281217774 4921826661 5468696290 8203044435 9843653322 12578001467 16406088870 24609133305 25156002934 37734004401 49218266610 62890007335 75468008802 113202013203 125780014670 188670022005 226404026406 377340044010 566010066015 1132020132030