Search a number
-
+
132113223300 = 223521793976197
BaseRepresentation
bin111101100001010001…
…1111100111010000100
3110122000012100010000110
41323002203330322010
54131031441121200
6140405244513020
712354613604142
oct1730243747204
9418005303013
10132113223300
115103551a073
122173054b770
13c5c5942416
146573dd8592
15368363db50
hex1ec28fce84

132113223300 has 144 divisors (see below), whose sum is σ = 385413456960. Its totient is φ = 34939491840.

The previous prime is 132113223269. The next prime is 132113223313. The reversal of 132113223300 is 3322311231.

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, 21315802 + ... + 21321998.

It is an arithmetic number, because the mean of its divisors is an integer number (2676482340).

Almost surely, 2132113223300 is an apocalyptic number.

132113223300 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 132113223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192706728480).

132113223300 is an abundant number, since it is smaller than the sum of its proper divisors (253300233660).

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

132113223300 is a wasteful number, since it uses less digits than its factorization.

132113223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132113223300 its reverse (3322311231), we get a palindrome (135435534531).

The spelling of 132113223300 in words is "one hundred thirty-two billion, one hundred thirteen million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 397 537 716 794 895 1074 1191 1588 1790 1985 2148 2382 2685 3580 3970 4475 4764 5370 5955 6197 7940 8950 9925 10740 11910 12394 13425 17900 18591 19850 23820 24788 26850 29775 30985 37182 39700 53700 59550 61970 71063 74364 92955 119100 123940 142126 154925 185910 213189 284252 309850 355315 371820 426378 464775 619700 710630 852756 929550 1065945 1109263 1421260 1776575 1859100 2131890 2218526 2460209 3327789 3553150 4263780 4437052 4920418 5329725 5546315 6655578 7106300 7380627 9840836 10659450 11092630 12301045 13311156 14761254 16638945 21318900 22185260 24602090 27731575 29522508 33277890 36903135 49204180 55463150 61505225 66555780 73806270 83194725 110926300 123010450 147612540 166389450 184515675 246020900 332778900 369031350 440377411 738062700 880754822 1321132233 1761509644 2201887055 2642264466 4403774110 5284528932 6605661165 8807548220 11009435275 13211322330 22018870550 26422644660 33028305825 44037741100 66056611650 132113223300