Search a number
-
+
132112023033300 = 223529725911752193
BaseRepresentation
bin11110000010011110111010…
…001101000001010111010100
3122022202210020000221212002020
4132002132322031001113110
5114304010410344031200
61144551231525213140
736553531042243332
oct3602367215012724
9568683200855066
10132112023033300
1139105437937a72
12129982412611b0
13589415849677b
14248a3827a4b52
15104180c080ea0
hex7827ba3415d4

132112023033300 has 144 divisors (see below), whose sum is σ = 386334050038272. Its totient is φ = 34853201510400.

The previous prime is 132112023033271. The next prime is 132112023033391. The reversal of 132112023033300 is 3330320211231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74522004 + ... + 76274196.

It is an arithmetic number, because the mean of its divisors is an integer number (2682875347488).

Almost surely, 2132112023033300 is an apocalyptic number.

132112023033300 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 132112023033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193167025019136).

132112023033300 is an abundant number, since it is smaller than the sum of its proper divisors (254222027004972).

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

132112023033300 is a wasteful number, since it uses less digits than its factorization.

132112023033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754898 (or 1754891 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132112023033300 its reverse (3330320211231), we get a palindrome (135442343244531).

The spelling of 132112023033300 in words is "one hundred thirty-two trillion, one hundred twelve billion, twenty-three million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2591 2910 4850 5182 5820 7275 7773 9700 10364 12955 14550 15546 25910 29100 31092 38865 51820 64775 77730 129550 155460 194325 251327 259100 388650 502654 753981 777300 1005308 1256635 1507962 1752193 2513270 3015924 3504386 3769905 5026540 5256579 6283175 7008772 7539810 8760965 10513158 12566350 15079620 17521930 18849525 21026316 25132700 26282895 35043860 37699050 43804825 52565790 75398100 87609650 105131580 131414475 169962721 175219300 262828950 339925442 509888163 525657900 679850884 849813605 1019776326 1699627210 2039552652 2549440815 3399254420 4249068025 4539932063 5098881630 8498136050 9079864126 10197763260 12747204075 13619796189 16996272100 18159728252 22699660315 25494408150 27239592378 45399320630 50988816300 54479184756 68098980945 90798641260 113498301575 136197961890 226996603150 272395923780 340494904725 440373410111 453993206300 680989809450 880746820222 1321120230333 1361979618900 1761493640444 2201867050555 2642240460666 4403734101110 5284480921332 6605601151665 8807468202220 11009335252775 13211202303330 22018670505550 26422404606660 33028005758325 44037341011100 66056011516650 132112023033300