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420052131333 = 32433967111467
BaseRepresentation
bin1100001110011010000…
…11101101111000000101
31111011020011012011222200
412013031003231320011
523340231321200313
6520545210545113
742230166130212
oct6071503557005
91434204164880
10420052131333
1115216352846a
12694aa738199
13307c2a69503
141648b378b09
15add7010b73
hex61cd0ede05

420052131333 has 24 divisors (see below), whose sum is σ = 608777577408. Its totient is φ = 279096596352.

The previous prime is 420052131311. The next prime is 420052131353. The reversal of 420052131333 is 333131250024.

420052131333 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 521 + 3 + 133 + 3 = 666.

It is not a de Polignac number, because 420052131333 - 26 = 420052131269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420052131297 and 420052131306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420052131353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3712666 + ... + 3824132.

It is an arithmetic number, because the mean of its divisors is an integer number (25365732392).

Almost surely, 2420052131333 is an apocalyptic number.

It is an amenable number.

420052131333 is a deficient number, since it is larger than the sum of its proper divisors (188725446075).

420052131333 is a wasteful number, since it uses less digits than its factorization.

420052131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112873 (or 112870 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 420052131333 its reverse (333131250024), we get a palindrome (753183381357).

The spelling of 420052131333 in words is "four hundred twenty billion, fifty-two million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 433 967 1299 2901 3897 8703 111467 334401 418711 1003203 1256133 3768399 48265211 107788589 144795633 323365767 434386899 970097301 46672459037 140017377111 420052131333