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332024420133 = 3278776009383
BaseRepresentation
bin1001101010011100011…
…00101001011100100101
31011202000100112010110200
410311032030221130211
520414441222421013
6412310243341113
732662606001610
oct4651614513445
91152010463420
10332024420133
111188a114711a
1254422381799
132540473b333
14120da3a1177
158983dc0e73
hex4d4e329725

332024420133 has 24 divisors (see below), whose sum is σ = 548728871808. Its totient is φ = 189511870752.

The previous prime is 332024420129. The next prime is 332024420201. The reversal of 332024420133 is 331024420233.

332024420133 is a `hidden beast` number, since 3 + 3 + 202 + 4 + 420 + 1 + 33 = 666.

It is not a de Polignac number, because 332024420133 - 22 = 332024420129 is a prime.

It is a super-2 number, since 2×3320244201332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332024420097 and 332024420106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332024420033) 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, 2949441 + ... + 3059942.

It is an arithmetic number, because the mean of its divisors is an integer number (22863702992).

Almost surely, 2332024420133 is an apocalyptic number.

It is an amenable number.

332024420133 is a deficient number, since it is larger than the sum of its proper divisors (216704451675).

332024420133 is a wasteful number, since it uses less digits than its factorization.

332024420133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010273 (or 6010270 counting only the distinct ones).

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

Adding to 332024420133 its reverse (331024420233), we get a palindrome (663048840366).

The spelling of 332024420133 in words is "three hundred thirty-two billion, twenty-four million, four hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 877 2631 6139 7893 18417 55251 6009383 18028149 42065681 54084447 126197043 378591129 5270228891 15810686673 36891602237 47432060019 110674806711 332024420133