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3301132010031 = 3223111833142601
BaseRepresentation
bin110000000010011010110…
…011010000001000101111
3102200120210120021101000200
4300002122303100020233
5413041204243310111
611004304043324543
7460333062052302
oct60023263201057
912616716241020
103301132010031
111063002a60959
12453946520753
131ac3ac03931b
14b5ac050ab39
155ad0b4ad256
hex3009acd022f

3301132010031 has 24 divisors (see below), whose sum is σ = 4975698645216. Its totient is φ = 2105036102400.

The previous prime is 3301132010009. The next prime is 3301132010081. The reversal of 3301132010031 is 1300102311033.

It is a happy number.

3301132010031 is a `hidden beast` number, since 3 + 301 + 1 + 320 + 10 + 0 + 31 = 666.

It is not a de Polignac number, because 3301132010031 - 214 = 3301131993647 is a prime.

It is a super-2 number, since 2×33011320100312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3301132009986 and 3301132010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301132010081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23078131 + ... + 23220731.

It is an arithmetic number, because the mean of its divisors is an integer number (207320776884).

Almost surely, 23301132010031 is an apocalyptic number.

3301132010031 is a deficient number, since it is larger than the sum of its proper divisors (1674566635185).

3301132010031 is a wasteful number, since it uses less digits than its factorization.

3301132010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254463 (or 254460 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3301132010031 its reverse (1300102311033), we get a palindrome (4601234321064).

The spelling of 3301132010031 in words is "three trillion, three hundred one billion, one hundred thirty-two million, ten thousand, thirty-one".

Divisors: 1 3 9 23 69 207 111833 142601 335499 427803 1006497 1283409 2572159 3279823 7716477 9839469 23149431 29518407 15947497633 47842492899 143527478697 366792445559 1100377336677 3301132010031