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133131300 = 22352443771
BaseRepresentation
bin1111110111101…
…10110000100100
3100021111202210220
413323312300210
5233040200200
621113244340
73204411621
oct773666044
9307452726
10133131300
1169170575
12387036b0
1321773b23
1413977348
15ba4b4a0
hex7ef6c24

133131300 has 36 divisors (see below), whose sum is σ = 385194096. Its totient is φ = 35501600.

The previous prime is 133131293. The next prime is 133131343. The reversal of 133131300 is 3131331.

133131300 is digitally balanced in base 3, because in such base 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133131300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221586 + ... + 222185.

It is an arithmetic number, because the mean of its divisors is an integer number (10699836).

Almost surely, 2133131300 is an apocalyptic number.

133131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133131300 is an abundant number, since it is smaller than the sum of its proper divisors (252062796).

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

133131300 is a wasteful number, since it uses less digits than its factorization.

133131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443788 (or 443781 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 133131300 is about 11538.2537673601. The cubic root of 133131300 is about 510.6147910759.

Adding to 133131300 its reverse (3131331), we get a palindrome (136262631).

It can be divided in two parts, 13 and 3131300, that added together give a palindrome (3131313).

The spelling of 133131300 in words is "one hundred thirty-three million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 443771 887542 1331313 1775084 2218855 2662626 4437710 5325252 6656565 8875420 11094275 13313130 22188550 26626260 33282825 44377100 66565650 133131300