Search a number
-
+
132322011312 = 2433774505637
BaseRepresentation
bin111101100111100000…
…0011010100010110000
3110122112202012122022210
41323033000122202300
54131443413330222
6140442103532120
712363030352431
oct1731700324260
9418482178283
10132322011312
1151132364647
122178a45a040
13c629c8571a
146593a27488
153696b31d0c
hex1ecf01a8b0

132322011312 has 40 divisors (see below), whose sum is σ = 351070566256. Its totient is φ = 42915246336.

The previous prime is 132322011271. The next prime is 132322011313. The reversal of 132322011312 is 213110223231.

It is a super-2 number, since 2×1323220113122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132322011313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37251043 + ... + 37254594.

Almost surely, 2132322011312 is an apocalyptic number.

132322011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132322011312 is an abundant number, since it is smaller than the sum of its proper divisors (218748554944).

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

132322011312 is a wasteful number, since it uses less digits than its factorization.

132322011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74505685 (or 74505679 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132322011312 its reverse (213110223231), we get a palindrome (345432234543).

The spelling of 132322011312 in words is "one hundred thirty-two billion, three hundred twenty-two million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 74505637 149011274 223516911 298022548 447033822 596045096 894067644 1192090192 1788135288 2756708569 3576270576 5513417138 8270125707 11026834276 16540251414 22053668552 33080502828 44107337104 66161005656 132322011312