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2133110133 = 3771153239
BaseRepresentation
bin111111100100100…
…1010110101110101
312111122211020000000
41333021022311311
513332034011013
6551355541513
7103601064660
oct17711126565
95448736000
102133110133
119a50a3240
124b645a899
1327cc1165b
141634286d7
15c7407973
hex7f24ad75

2133110133 has 128 divisors (see below), whose sum is σ = 4080844800. Its totient is φ = 1082652480.

The previous prime is 2133110117. The next prime is 2133110143. The reversal of 2133110133 is 3310113312.

It is a happy number.

It is not a de Polignac number, because 2133110133 - 24 = 2133110117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133110143) 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 127 ways as a sum of consecutive naturals, for example, 8925028 + ... + 8925266.

It is an arithmetic number, because the mean of its divisors is an integer number (31881600).

Almost surely, 22133110133 is an apocalyptic number.

It is an amenable number.

2133110133 is a deficient number, since it is larger than the sum of its proper divisors (1947734667).

2133110133 is an equidigital number, since it uses as much as digits as its factorization.

2133110133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2133110133 is about 46185.6052574826. The cubic root of 2133110133 is about 1287.2742825849.

Adding to 2133110133 its reverse (3310113312), we get a palindrome (5443223445).

The spelling of 2133110133 in words is "two billion, one hundred thirty-three million, one hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 27 33 53 63 77 81 99 159 189 231 239 243 297 371 477 567 583 693 717 729 891 1113 1431 1673 1701 1749 2079 2151 2187 2629 2673 3339 4081 4293 5019 5103 5247 6237 6453 7887 8019 10017 12243 12667 12879 15057 15309 15741 18403 18711 19359 23661 24057 30051 36729 38001 38637 45171 47223 55209 56133 58077 70983 88669 90153 110187 114003 115911 135513 139337 141669 165627 168399 174231 212949 266007 270459 330561 342009 406539 418011 425007 496881 522693 638847 798021 811377 975359 991683 1026027 1219617 1254033 1275021 1490643 1916541 2394063 2926077 2975049 3078081 3658851 3762099 4471929 5749623 7182189 8778231 8925147 9234243 11286297 13415787 21546567 26334693 27702729 33858891 40247361 64639701 79004079 101576673 193919103 237012237 304730019 711036711 2133110133