Search a number
-
+
132233011020 = 2232511137487477
BaseRepresentation
bin111101100100110110…
…0111001111101001100
3110122022112201221212200
41323021230321331030
54131303122323040
6140425204201500
712360600022365
oct1731154717514
9418275657780
10132233011020
11510970a6390
1221764699290
13c6146c3826
146585c9ab6c
15368de01630
hex1ec9b39f4c

132233011020 has 144 divisors (see below), whose sum is σ = 440765908128. Its totient is φ = 31822433280.

The previous prime is 132233010991. The next prime is 132233011081. The reversal of 132233011020 is 20110332231.

132233011020 is a `hidden beast` number, since 1 + 322 + 330 + 1 + 10 + 2 + 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 = 132233010984 and 132233011002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27522 + ... + 514998.

It is an arithmetic number, because the mean of its divisors is an integer number (3060874362).

Almost surely, 2132233011020 is an apocalyptic number.

132233011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132233011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220382954064).

132233011020 is an abundant number, since it is smaller than the sum of its proper divisors (308532897108).

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

132233011020 is a wasteful number, since it uses less digits than its factorization.

132233011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487640 (or 487635 counting only the distinct ones).

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

Adding to 132233011020 its reverse (20110332231), we get a palindrome (152343343251).

The spelling of 132233011020 in words is "one hundred thirty-two billion, two hundred thirty-three million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 137 165 180 198 220 274 330 396 411 495 548 660 685 822 990 1233 1370 1507 1644 1980 2055 2466 2740 3014 4110 4521 4932 6028 6165 7535 8220 9042 12330 13563 15070 18084 22605 24660 27126 30140 45210 54252 67815 90420 135630 271260 487477 974954 1462431 1949908 2437385 2924862 4387293 4874770 5362247 5849724 7312155 8774586 9749540 10724494 14624310 16086741 17549172 21448988 21936465 26811235 29248620 32173482 43872930 48260223 53622470 64346964 66784349 80433705 87745860 96520446 107244940 133568698 160867410 193040892 200353047 241301115 267137396 321734820 333921745 400706094 482602230 601059141 667843490 734627839 801412188 965204460 1001765235 1202118282 1335686980 1469255678 2003530470 2203883517 2404236564 2938511356 3005295705 3673139195 4007060940 4407767034 6010591410 6611650551 7346278390 8815534068 11019417585 12021182820 13223301102 14692556780 22038835170 26446602204 33058252755 44077670340 66116505510 132233011020