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33000000033 = 37112131952579
BaseRepresentation
bin11110101110111101…
…000000101000100001
310011011211022200202110
4132232331000220201
51020041000000113
623054320305533
72245525241430
oct365675005041
9104154280673
1033000000033
1112aa4704500
12648b7722a9
13315ba79650
141850a51117
15cd21bcbc3
hex7aef40a21

33000000033 has 96 divisors (see below), whose sum is σ = 62658534400. Its totient is φ = 14991039360.

The previous prime is 33000000029. The next prime is 33000000107.

33000000033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33000000033 - 22 = 33000000029 is a prime.

It is a Curzon number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 32999999955 and 33000000018.

It is not an unprimeable number, because it can be changed into a prime (33000000133) 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 95 ways as a sum of consecutive naturals, for example, 601338 + ... + 653916.

Almost surely, 233000000033 is an apocalyptic number.

33000000033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33000000033 is a deficient number, since it is larger than the sum of its proper divisors (29658534367).

33000000033 is a wasteful number, since it uses less digits than its factorization.

33000000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52643 (or 52632 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 12.

It can be divided in two parts, 330000000 and 33, that added together give a palindrome (330000033).

The spelling of 33000000033 in words is "thirty-three billion, thirty-three", and thus it is an aban number and an uban number.

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 121 133 143 209 231 247 273 363 399 429 627 741 847 1001 1463 1573 1729 2299 2541 2717 3003 4389 4719 5187 6897 8151 11011 16093 19019 29887 33033 48279 52579 57057 89661 157737 209209 368053 578369 627627 683527 999001 1104159 1735107 2050581 2997003 4048583 4784689 6362059 6993007 7518797 10989011 12145749 12987013 14354067 19086177 20979021 22556391 32967033 38961039 44534413 52631579 76923077 82706767 90909091 120879121 133603239 142857143 157894737 230769231 248120301 272727273 362637363 428571429 578947369 846153847 1000000001 1571428573 1736842107 2538461541 3000000003 4714285719 11000000011 33000000033