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132423113430 = 232553191145349
BaseRepresentation
bin111101101010100001…
…0000101101011010110
3110122210210110011100200
41323111002011223112
54132200304112210
6140500114521330
712365365614666
oct1732502055326
9418723404320
10132423113430
1151184439113
12217b8296246
13c644bc3a6a
1465a32241a6
1536a09530c0
hex1ed5085ad6

132423113430 has 96 divisors (see below), whose sum is σ = 352635379200. Its totient is φ = 34464917760.

The previous prime is 132423113423. The next prime is 132423113443. The reversal of 132423113430 is 34311324231.

It is a happy number.

132423113430 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 311 + 343 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132423113394 and 132423113403.

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, 838396 + ... + 983744.

It is an arithmetic number, because the mean of its divisors is an integer number (3673285200).

Almost surely, 2132423113430 is an apocalyptic number.

132423113430 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 132423113430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176317689600).

132423113430 is an abundant number, since it is smaller than the sum of its proper divisors (220212265770).

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

132423113430 is a wasteful number, since it uses less digits than its factorization.

132423113430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145606 (or 145603 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132423113430 its reverse (34311324231), we get a palindrome (166734437661).

The spelling of 132423113430 in words is "one hundred thirty-two billion, four hundred twenty-three million, one hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 191 265 318 382 477 530 573 795 954 955 1146 1590 1719 1910 2385 2865 3438 4770 5730 8595 10123 17190 20246 30369 50615 60738 91107 101230 145349 151845 182214 290698 303690 436047 455535 726745 872094 911070 1308141 1453490 2180235 2616282 4360470 6540705 7703497 13081410 15406994 23110491 27761659 38517485 46220982 55523318 69331473 77034970 83284977 115552455 138662946 138808295 166569954 231104910 249854931 277616590 346657365 416424885 499709862 693314730 832849770 1249274655 1471367927 2498549310 2942735854 4414103781 7356839635 8828207562 13242311343 14713679270 22070518905 26484622686 44141037810 66211556715 132423113430