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13133134098 = 234715176697
BaseRepresentation
bin11000011101100101…
…11011100100010010
31020220021022100010000
430032302323210102
5203344040242343
610011104350430
7643310540460
oct141662734422
936807270100
1013133134098
11562a348037
122666315416
131313b46b86
148c8303830
1551ce9ded3
hex30ecbb912

13133134098 has 80 divisors (see below), whose sum is σ = 33855110784. Its totient is φ = 3727425600.

The previous prime is 13133134093. The next prime is 13133134129. The reversal of 13133134098 is 89043133131.

13133134098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131331340982 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13133134093) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 132886 + ... + 209582.

Almost surely, 213133134098 is an apocalyptic number.

13133134098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133134098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927555392).

13133134098 is an abundant number, since it is smaller than the sum of its proper divisors (20721976686).

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

13133134098 is a wasteful number, since it uses less digits than its factorization.

13133134098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76869 (or 76860 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13133134098 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty-four thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 151 162 189 302 378 453 567 906 1057 1134 1359 2114 2718 3171 4077 6342 8154 9513 12231 19026 24462 28539 57078 76697 85617 153394 171234 230091 460182 536879 690273 1073758 1380546 1610637 2070819 3221274 4141638 4831911 6212457 9663822 11581247 12424914 14495733 23162494 28991466 34743741 43487199 69487482 81068729 86974398 104231223 162137458 208462446 243206187 312693669 486412374 625387338 729618561 938081007 1459237122 1876162014 2188855683 4377711366 6566567049 13133134098