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20153133 = 32711132237
BaseRepresentation
bin100110011100…
…0001100101101
31101220212220100
41030320030231
520124400013
61555541313
7333204330
oct114701455
941825810
1020153133
1110415390
1268ba839
134238040
142968617
151b81473
hex133832d

20153133 has 48 divisors (see below), whose sum is σ = 39102336. Its totient is φ = 9659520.

The previous prime is 20153117. The next prime is 20153141. The reversal of 20153133 is 33135102.

It is not a de Polignac number, because 20153133 - 24 = 20153117 is a prime.

It is a super-2 number, since 2×201531332 = 812297539431378, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7891 + ... + 10127.

It is an arithmetic number, because the mean of its divisors is an integer number (814632).

Almost surely, 220153133 is an apocalyptic number.

It is an amenable number.

20153133 is a deficient number, since it is larger than the sum of its proper divisors (18949203).

20153133 is a wasteful number, since it uses less digits than its factorization.

20153133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 20153133 is about 4489.2240977701. The cubic root of 20153133 is about 272.1327792105.

Adding to 20153133 its reverse (33135102), we get a palindrome (53288235).

The spelling of 20153133 in words is "twenty million, one hundred fifty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 2237 3003 6711 9009 15659 20133 24607 29081 46977 73821 87243 140931 172249 203567 221463 261729 319891 516747 610701 959673 1550241 1832103 2239237 2879019 6717711 20153133