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133103012 = 2272977001
BaseRepresentation
bin1111110111011…
…11110110100100
3100021110100000012
413323233312210
5233033244022
621112505352
73204233300
oct773576644
9307410005
10133103012
1169151299
12386ab258
1321763ca3
141396ad00
15ba42de2
hex7eefda4

133103012 has 36 divisors (see below), whose sum is σ = 273792204. Its totient is φ = 56448000.

The previous prime is 133102993. The next prime is 133103021. The reversal of 133103012 is 210301331.

It can be written as a sum of positive squares in 2 ways, for example, as 58003456 + 75099556 = 7616^2 + 8666^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

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 11 ways as a sum of consecutive naturals, for example, 15512 + ... + 22512.

It is an arithmetic number, because the mean of its divisors is an integer number (7605339).

Almost surely, 2133103012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136896102).

133103012 is an abundant number, since it is smaller than the sum of its proper divisors (140689192).

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

133103012 is a wasteful number, since it uses less digits than its factorization.

133103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133103012 is about 11537.0278668295. The cubic root of 133103012 is about 510.5786230363.

Adding to 133103012 its reverse (210301331), we get a palindrome (343404343).

The spelling of 133103012 in words is "one hundred thirty-three million, one hundred three thousand, twelve".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 679 1358 2716 4753 7001 9506 14002 19012 28004 49007 98014 196028 343049 679097 686098 1358194 1372196 2716388 4753679 9507358 19014716 33275753 66551506 133103012