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133034100 = 223521972251
BaseRepresentation
bin1111110110111…
…11000001110100
3100021022211110220
413323133001310
5233024042400
621111214340
73203525343
oct773370164
9307284426
10133034100
1169104541
12386773b0
132173b804
141394db5a
15ba2c7a0
hex7edf074

133034100 has 72 divisors (see below), whose sum is σ = 387037728. Its totient is φ = 35280000.

The previous prime is 133034021. The next prime is 133034117. The reversal of 133034100 is 1430331.

133034100 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 133034100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57975 + ... + 60225.

It is an arithmetic number, because the mean of its divisors is an integer number (5375524).

Almost surely, 2133034100 is an apocalyptic number.

133034100 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 133034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193518864).

133034100 is an abundant number, since it is smaller than the sum of its proper divisors (254003628).

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

133034100 is a wasteful number, since it uses less digits than its factorization.

133034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133034100 is about 11534.0409224174. The cubic root of 133034100 is about 510.4904931299.

Adding to 133034100 its reverse (1430331), we get a palindrome (134464431).

The spelling of 133034100 in words is "one hundred thirty-three million, thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2251 2364 2955 3940 4502 4925 5910 6753 9004 9850 11255 11820 13506 14775 19700 22510 27012 29550 33765 45020 56275 59100 67530 112550 135060 168825 225100 337650 443447 675300 886894 1330341 1773788 2217235 2660682 4434470 5321364 6651705 8868940 11086175 13303410 22172350 26606820 33258525 44344700 66517050 133034100