Search a number
-
+
133245100 = 22521923691
BaseRepresentation
bin1111111000100…
…10100010101100
3100021201112220201
413330102202230
5233102320400
621115523244
73205364452
oct774224254
9307645821
10133245100
116923901a
1238759524
13217b3871
14139a69d2
15ba7006a
hex7f128ac

133245100 has 54 divisors (see below), whose sum is σ = 305243484. Its totient is φ = 50479200.

The previous prime is 133245071. The next prime is 133245143. The reversal of 133245100 is 1542331.

133245100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

133245100 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34255 + ... + 37945.

Almost surely, 2133245100 is an apocalyptic number.

133245100 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 133245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152621742).

133245100 is an abundant number, since it is smaller than the sum of its proper divisors (171998384).

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

133245100 is a wasteful number, since it uses less digits than its factorization.

133245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 133245100 is about 11543.1841361039. The cubic root of 133245100 is about 510.7602400030.

Adding to 133245100 its reverse (1542331), we get a palindrome (134787431).

The spelling of 133245100 in words is "one hundred thirty-three million, two hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3610 3691 7220 7382 9025 14764 18050 18455 36100 36910 70129 73820 92275 140258 184550 280516 350645 369100 701290 1332451 1402580 1753225 2664902 3506450 5329804 6662255 7012900 13324510 26649020 33311275 66622550 133245100