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132112420232 = 23134152315923
BaseRepresentation
bin111101100001010000…
…0111000110110001000
3110122000010211022102012
41323002200320312020
54131031234421412
6140405215355052
712354604020632
oct1730240706610
9418003738365
10132112420232
1151035020781
1221730222a88
13c5c5720a30
146573c69a52
153683530c22
hex1ec2838d88

132112420232 has 64 divisors (see below), whose sum is σ = 273370325760. Its totient is φ = 59466355200.

The previous prime is 132112420201. The next prime is 132112420289. The reversal of 132112420232 is 232024211231.

It is a junction number, because it is equal to n+sod(n) for n = 132112420198 and 132112420207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22302023 + ... + 22307945.

It is an arithmetic number, because the mean of its divisors is an integer number (4271411340).

Almost surely, 2132112420232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132112420232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136685162880).

132112420232 is an abundant number, since it is smaller than the sum of its proper divisors (141257905528).

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

132112420232 is a wasteful number, since it uses less digits than its factorization.

132112420232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11214 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 132112420232 its reverse (232024211231), we get a palindrome (364136631463).

The spelling of 132112420232 in words is "one hundred thirty-two billion, one hundred twelve million, four hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 5231 5923 10462 11846 20924 23692 41848 47384 68003 76999 136006 153998 214471 242843 272012 307996 428942 485686 544024 615992 857884 971372 1715768 1942744 2788123 3156959 5576246 6313918 11152492 12627836 22304984 25255672 30983213 61966426 123932852 247865704 402781769 805563538 1270311733 1611127076 2540623466 3222254152 5081246932 10162493864 16514052529 33028105058 66056210116 132112420232