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21033132309 = 32717315311953
BaseRepresentation
bin10011100101101011…
…000010000100010101
32000021211112211100100
4103211223002010111
5321033440213214
613355033004313
71343135450310
oct234553020425
960254484310
1021033132309
118a13722682
1240abb53699
131ca2745727
1410375b9977
158317e4309
hex4e5ac2115

21033132309 has 96 divisors (see below), whose sum is σ = 38668990464. Its totient is φ = 10739589120.

The previous prime is 21033132287. The next prime is 21033132311. The reversal of 21033132309 is 90323133012.

21033132309 is a `hidden beast` number, since 2 + 1 + 0 + 331 + 323 + 0 + 9 = 666.

It is not a de Polignac number, because 21033132309 - 27 = 21033132181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21033132349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1753677 + ... + 1765629.

It is an arithmetic number, because the mean of its divisors is an integer number (402801984).

Almost surely, 221033132309 is an apocalyptic number.

It is an amenable number.

21033132309 is a deficient number, since it is larger than the sum of its proper divisors (17635858155).

21033132309 is a wasteful number, since it uses less digits than its factorization.

21033132309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 21033132309 in words is "twenty-one billion, thirty-three million, one hundred thirty-two thousand, three hundred nine".

Divisors: 1 3 7 9 17 21 31 51 53 63 93 119 153 159 217 279 357 371 477 527 651 901 1071 1113 1581 1643 1953 2703 3339 3689 4743 4929 6307 8109 11067 11501 11953 14787 18921 27931 33201 34503 35859 56763 83671 83793 103509 107577 195517 203201 251013 251379 370543 586551 609603 633509 753039 1111629 1422407 1759653 1828809 1900527 2593801 3334887 4267221 4434563 5701581 6299231 7781403 10769653 12801663 13303689 18897693 19638779 23344209 32308959 39911067 44094617 56693079 58916337 75387571 96926877 132283851 137471453 176749011 226162713 333859243 396851553 412414359 678488139 1001577729 1237243077 2337014701 3004733187 7011044103 21033132309