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3301132123121 = 72531271132893
BaseRepresentation
bin110000000010011010110…
…011101011101111110001
3102200120210120111010011012
4300002122303223233301
5413041204310414441
611004304050000305
7460333063033100
oct60023263535761
912616716433135
103301132123121
111063003028918
12453946576095
131ac3ac078941
14b5ac053a037
155ad0b4d19eb
hex3009acebbf1

3301132123121 has 12 divisors (see below), whose sum is σ = 3912547047732. Its totient is φ = 2776154236128.

The previous prime is 3301132123063. The next prime is 3301132123127. The reversal of 3301132123121 is 1213212311033.

It can be written as a sum of positive squares in 2 ways, for example, as 1740581514721 + 1560550608400 = 1319311^2 + 1249220^2 .

It is not a de Polignac number, because 3301132123121 - 210 = 3301132122097 is a prime.

It is a super-2 number, since 2×33011321231212 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3301132123127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635563850 + ... + 635569043.

It is an arithmetic number, because the mean of its divisors is an integer number (326045587311).

Almost surely, 23301132123121 is an apocalyptic number.

It is an amenable number.

3301132123121 is a deficient number, since it is larger than the sum of its proper divisors (611414924611).

3301132123121 is a wasteful number, since it uses less digits than its factorization.

3301132123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271132960 (or 1271132953 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3301132123121 its reverse (1213212311033), we get a palindrome (4514344434154).

The spelling of 3301132123121 in words is "three trillion, three hundred one billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 49 53 371 2597 1271132893 8897930251 62285511757 67370043329 471590303303 3301132123121