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420203133 = 357535979
BaseRepresentation
bin11001000010111…
…100101001111101
31002021200112100000
4121002330221331
51330033000013
6105410224513
713261445010
oct3102745175
91067615300
10420203133
111a6214919
12b8885139
136909630c
143db43377
1526d54973
hex190bca7d

420203133 has 96 divisors (see below), whose sum is σ = 754790400. Its totient is φ = 228661056.

The previous prime is 420203131. The next prime is 420203153. The reversal of 420203133 is 331302024.

It is not a de Polignac number, because 420203133 - 21 = 420203131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420203131) 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, 5318988 + ... + 5319066.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2420203133 is an apocalyptic number.

It is an amenable number.

420203133 is a deficient number, since it is larger than the sum of its proper divisors (334587267).

420203133 is an equidigital number, since it uses as much as digits as its factorization.

420203133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 420203133 is about 20498.8568705672. The cubic root of 420203133 is about 749.0079523672.

Adding to 420203133 its reverse (331302024), we get a palindrome (751505157).

The spelling of 420203133 in words is "four hundred twenty million, two hundred three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 53 59 63 79 81 159 177 189 237 243 371 413 477 531 553 567 711 1113 1239 1431 1593 1659 1701 2133 3127 3339 3717 4187 4293 4661 4779 4977 6399 9381 10017 11151 12561 12879 13983 14337 14931 19197 21889 28143 29309 30051 32627 33453 37683 41949 44793 65667 84429 87927 90153 97881 100359 113049 125847 134379 197001 247033 253287 263781 293643 339147 377541 591003 741099 759861 791343 880929 1017441 1132623 1729231 1773009 2223297 2374029 2642787 5187693 5319027 6669891 7122087 7928361 15563079 20009673 46689237 60029019 140067711 420203133