Search a number
-
+
1132131133320 = 2335117112079931
BaseRepresentation
bin10000011110011000010…
…001100010011110001000
311000020020011110110102120
4100132120101202132020
5122022101032231240
62224032135131240
7144536156566035
oct20363021423610
94006204413376
101132131133320
113a7152568030
121634b8513b20
13829b483bcb5
143cb1c98438c
151e6b1741ad0
hex10798462788

1132131133320 has 128 divisors (see below), whose sum is σ = 3757342049280. Its totient is φ = 270590432000.

The previous prime is 1132131133307. The next prime is 1132131133327. The reversal of 1132131133320 is 233311312311.

It is a super-2 number, since 2×11321311333202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1132131133327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5946246 + ... + 6133685.

It is an arithmetic number, because the mean of its divisors is an integer number (29354234760).

Almost surely, 21132131133320 is an apocalyptic number.

1132131133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132131133320 is an abundant number, since it is smaller than the sum of its proper divisors (2625210915960).

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

1132131133320 is a wasteful number, since it uses less digits than its factorization.

1132131133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12080027 (or 12080023 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1132131133320 its reverse (233311312311), we get a palindrome (1365442445631).

The spelling of 1132131133320 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1065 1320 1420 1562 1704 2130 2343 2840 3124 3905 4260 4686 6248 7810 8520 9372 11715 15620 18744 23430 31240 46860 93720 12079931 24159862 36239793 48319724 60399655 72479586 96639448 120799310 132879241 144959172 181198965 241598620 265758482 289918344 362397930 398637723 483197240 531516964 664396205 724795860 797275446 857675101 1063033928 1328792410 1449591720 1594550892 1715350202 1993188615 2573025303 2657584820 3189101784 3430700404 3986377230 4288375505 5146050606 5315169640 6861400808 7972754460 8576751010 9434426111 10292101212 12865126515 15945508920 17153502020 18868852222 20584202424 25730253030 28303278333 34307004040 37737704444 47172130555 51460506060 56606556666 75475408888 94344261110 102921012120 113213113332 141516391665 188688522220 226426226664 283032783330 377377044440 566065566660 1132131133320