Search a number
-
+
132201300 = 223527115997
BaseRepresentation
bin1111110000100…
…11101101010100
3100012202112002110
413320103231110
5232320420200
621041311020
73163456350
oct770235524
9305675073
10132201300
1168695880
1238335470
132150972a
14137b4460
15b915b50
hex7e13b54

132201300 has 288 divisors, whose sum is σ = 489968640. Its totient is φ = 26726400.

The previous prime is 132201283. The next prime is 132201319. The reversal of 132201300 is 3102231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362852 + ... + 1362948.

It is an arithmetic number, because the mean of its divisors is an integer number (1701280).

Almost surely, 2132201300 is an apocalyptic number.

132201300 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 132201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244984320).

132201300 is an abundant number, since it is smaller than the sum of its proper divisors (357767340).

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

132201300 is a wasteful number, since it uses less digits than its factorization.

132201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132201300 is about 11497.8824137317. The cubic root of 132201300 is about 509.4230307124.

Adding to 132201300 its reverse (3102231), we get a palindrome (135303531).

The spelling of 132201300 in words is "one hundred thirty-two million, two hundred one thousand, three hundred".