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20212133025 = 3527198324413
BaseRepresentation
bin10010110100101111…
…001010110010100001
31221011121200202001110
4102310233022302201
5312343301224100
613141344053533
71313606203350
oct226457126241
957147622043
1020212133025
118632249777
123b010042a9
131ba161c636
14d9a545997
157d46c0250
hex4b4bcaca1

20212133025 has 96 divisors (see below), whose sum is σ = 40687395840. Its totient is φ = 8647706880.

The previous prime is 20212132999. The next prime is 20212133027. The reversal of 20212133025 is 52033121202.

It is not a de Polignac number, because 20212133025 - 26 = 20212132961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20212132992 and 20212133010.

It is not an unprimeable number, because it can be changed into a prime (20212133027) 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, 815719 + ... + 840131.

It is an arithmetic number, because the mean of its divisors is an integer number (423827040).

Almost surely, 220212133025 is an apocalyptic number.

20212133025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20212133025 is an abundant number, since it is smaller than the sum of its proper divisors (20475262815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20212133025 is a wasteful number, since it uses less digits than its factorization.

20212133025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24535 (or 24530 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 20212133025 its reverse (52033121202), we get a palindrome (72245254227).

The spelling of 20212133025 in words is "twenty billion, two hundred twelve million, one hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 57 75 83 95 105 133 175 249 285 399 415 475 525 581 665 1245 1425 1577 1743 1995 2075 2905 3325 4731 6225 7885 8715 9975 11039 14525 23655 24413 33117 39425 43575 55195 73239 118275 122065 165585 170891 275975 366195 463847 512673 610325 827925 854455 1391541 1830975 2026279 2319235 2563365 3246929 4272275 6078837 6957705 9740787 10131395 11596175 12816825 14183953 16234645 30394185 34788525 38499301 42551859 48703935 50656975 70919765 81173225 115497903 151970925 192496505 212759295 243519675 269495107 354598825 577489515 808485321 962482525 1063796475 1347475535 2887447575 4042426605 6737377675 20212133025