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32023442133 = 32237915712473
BaseRepresentation
bin11101110100101111…
…101111001011010101
310001122202202102011100
4131310233233023111
51011041000122013
622413353300313
72212366524024
oct356457571325
9101582672140
1032023442133
1112643442061
126258704699
133034659537
14179b0868bb
15c765bc473
hex774bef2d5

32023442133 has 48 divisors (see below), whose sum is σ = 49193464320. Its totient is φ = 20032227072.

The previous prime is 32023442119. The next prime is 32023442189. The reversal of 32023442133 is 33124432023.

32023442133 is a `hidden beast` number, since 3 + 2 + 0 + 234 + 421 + 3 + 3 = 666.

It is not a de Polignac number, because 32023442133 - 29 = 32023441621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32023442097 and 32023442106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32023042133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2561185 + ... + 2573657.

It is an arithmetic number, because the mean of its divisors is an integer number (1024863840).

Almost surely, 232023442133 is an apocalyptic number.

It is an amenable number.

32023442133 is a deficient number, since it is larger than the sum of its proper divisors (17170022187).

32023442133 is a wasteful number, since it uses less digits than its factorization.

32023442133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12738 (or 12735 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 32023442133 its reverse (33124432023), we get a palindrome (65147874156).

The spelling of 32023442133 in words is "thirty-two billion, twenty-three million, four hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 23 69 79 157 207 237 471 711 1413 1817 3611 5451 10833 12403 12473 16353 32499 37209 37419 111627 112257 285269 286879 855807 860637 985367 1958261 2567421 2581911 2956101 5874783 8868303 17624349 22663441 45040003 67990323 135120009 154702619 203970969 405360027 464107857 1392323571 3558160237 10674480711 32023442133