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12133013130031 = 383129732441909
BaseRepresentation
bin1011000010001110111111…
…1100000000101100101111
31120221220102112202012202211
42300203233330000230233
53042241402330130111
641445455043031251
72361403242656353
oct260435774005457
946856375665684
1012133013130031
113958644672142
12143b56166b527
136a01a48c50a1
142dd35330b463
1516091a56d521
hexb08eff00b2f

12133013130031 has 8 divisors (see below), whose sum is σ = 12165634690560. Its totient is φ = 12100396480032.

The previous prime is 12133013130011. The next prime is 12133013130041. The reversal of 12133013130031 is 13003131033121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12133013130031 is a prime.

It is a super-2 number, since 2×121330131300312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12133013129984 and 12133013130011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133013130011) 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 7 ways as a sum of consecutive naturals, for example, 3747705 + ... + 6189613.

It is an arithmetic number, because the mean of its divisors is an integer number (1520704336320).

Almost surely, 212133013130031 is an apocalyptic number.

12133013130031 is a deficient number, since it is larger than the sum of its proper divisors (32621560529).

12133013130031 is a wasteful number, since it uses less digits than its factorization.

12133013130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455265.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 12133013130031 its reverse (13003131033121), we get a palindrome (25136144163152).

The spelling of 12133013130031 in words is "twelve trillion, one hundred thirty-three billion, thirteen million, one hundred thirty thousand, thirty-one".

Divisors: 1 383 12973 2441909 4968659 935251147 31678885457 12133013130031