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133283111913 = 327193127712967
BaseRepresentation
bin111110000100001001…
…0101110001111101001
3110202000201200121111100
41330020102232033221
54140430434040123
6141121315352013
712425610521130
oct1741022561751
9422021617440
10133283111913
1151585929766
12219b82b2609
13c751122cc3
14664552a917
1537011cc643
hex1f084ae3e9

133283111913 has 96 divisors (see below), whose sum is σ = 239955722240. Its totient is φ = 69568295040.

The previous prime is 133283111911. The next prime is 133283111917. The reversal of 133283111913 is 319111382331.

It is a happy number.

133283111913 is a `hidden beast` number, since 1 + 3 + 328 + 311 + 1 + 9 + 13 = 666.

It is not a de Polignac number, because 133283111913 - 21 = 133283111911 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133283111911) 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 95 ways as a sum of consecutive naturals, for example, 10272156 + ... + 10285122.

Almost surely, 2133283111913 is an apocalyptic number.

It is an amenable number.

133283111913 is a deficient number, since it is larger than the sum of its proper divisors (106672610327).

133283111913 is a wasteful number, since it uses less digits than its factorization.

133283111913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13307 (or 13304 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The spelling of 133283111913 in words is "one hundred thirty-three billion, two hundred eighty-three million, one hundred eleven thousand, nine hundred thirteen".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 277 279 399 589 651 831 1197 1767 1939 1953 2493 4123 5263 5301 5817 8587 12369 12967 15789 17451 25761 36841 37107 38901 47367 60109 77283 90769 110523 116703 163153 180327 246373 272307 331569 401977 489459 540981 739119 816921 1142071 1205931 1468377 1724611 2217357 2813839 3426213 3591859 3617793 5173833 7637563 8441517 10278639 10775577 15521499 22912689 25143013 25324551 32326731 53462941 68245321 68738067 75429039 111347629 160388823 204735963 226287117 334042887 477717247 481166469 614207889 779433403 1002128661 1433151741 2115604951 2338300209 4299455223 6346814853 7014900627 14809234657 19040444559 44427703971 133283111913