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420121233 = 32722692939
BaseRepresentation
bin11001000010101…
…000101010010001
31002021112100222200
4121002220222101
51330022334413
6105404353413
713260654150
oct3102505221
91067470880
10420121233
111a6169334
12b8845869
1369067c5c
143db21597
1526d3a573
hex190a8a91

420121233 has 24 divisors (see below), whose sum is σ = 694075200. Its totient is φ = 239881824.

The previous prime is 420121171. The next prime is 420121249. The reversal of 420121233 is 332121024.

420121233 is a `hidden beast` number, since 420 + 1 + 212 + 33 = 666.

It is not a de Polignac number, because 420121233 - 29 = 420120721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420121283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141478 + ... + 144416.

It is an arithmetic number, because the mean of its divisors is an integer number (28919800).

Almost surely, 2420121233 is an apocalyptic number.

It is an amenable number.

420121233 is a deficient number, since it is larger than the sum of its proper divisors (273953967).

420121233 is a wasteful number, since it uses less digits than its factorization.

420121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420121233 is about 20496.8591008476. The cubic root of 420121233 is about 748.9592872238.

Adding to 420121233 its reverse (332121024), we get a palindrome (752242257).

The spelling of 420121233 in words is "four hundred twenty million, one hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 63 2269 2939 6807 8817 15883 20421 20573 26451 47649 61719 142947 185157 6668591 20005773 46680137 60017319 140040411 420121233