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134631200333 = 7241157426841
BaseRepresentation
bin111110101100010100…
…1010001011001001101
3110212111200100121011002
41331120221101121031
54201211041402313
6141503153510045
712504200215100
oct1753051213115
9425450317132
10134631200333
1152107891523
1222113872325
13c9074c7266
1467325a8737
15377e71b058
hex1f58a5164d

134631200333 has 24 divisors (see below), whose sum is σ = 161453840184. Its totient is φ = 111866227200.

The previous prime is 134631200329. The next prime is 134631200381. The reversal of 134631200333 is 333002136431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7412004649 + 127219195684 = 86093^2 + 356678^2 .

It is not a de Polignac number, because 134631200333 - 22 = 134631200329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 134631200296 and 134631200305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134631200323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 101993 + ... + 528833.

It is an arithmetic number, because the mean of its divisors is an integer number (6727243341).

Almost surely, 2134631200333 is an apocalyptic number.

It is an amenable number.

134631200333 is a deficient number, since it is larger than the sum of its proper divisors (26822639851).

134631200333 is a wasteful number, since it uses less digits than its factorization.

134631200333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427053 (or 427046 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 134631200333 its reverse (333002136431), we get a palindrome (467633336764).

The spelling of 134631200333 in words is "one hundred thirty-four billion, six hundred thirty-one million, two hundred thousand, three hundred thirty-three".

Divisors: 1 7 41 49 157 287 1099 2009 6437 7693 45059 315413 426841 2987887 17500481 20915209 67014037 122503367 469098259 857523569 2747575517 3283687813 19233028619 134631200333