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12132133120331 = 79717867648189
BaseRepresentation
bin1011000010001011101101…
…1111000010100101001011
31120221211011012212002101222
42300202323133002211023
53042233102034322311
641445231445232255
72361342366006410
oct260427337024513
946854135762358
1012132133120331
1139582329538a4
12143b356a0268b
136a00944aa5a3
142dd2ac4b6107
151608b818eadb
hexb08bb7c294b

12132133120331 has 8 divisors (see below), whose sum is σ = 14008236180960. Its totient is φ = 10291765356288.

The previous prime is 12132133120321. The next prime is 12132133120409. The reversal of 12132133120331 is 13302133123121.

12132133120331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 12132133120331 - 26 = 12132133120267 is a prime.

It is a super-2 number, since 2×121321331203312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12132133120331.

It is not an unprimeable number, because it can be changed into a prime (12132133120321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8933823416 + ... + 8933824773.

It is an arithmetic number, because the mean of its divisors is an integer number (1751029522620).

Almost surely, 212132133120331 is an apocalyptic number.

12132133120331 is a deficient number, since it is larger than the sum of its proper divisors (1876103060629).

12132133120331 is an equidigital number, since it uses as much as digits as its factorization.

12132133120331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17867648293.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 12132133120331 its reverse (13302133123121), we get a palindrome (25434266243452).

The spelling of 12132133120331 in words is "twelve trillion, one hundred thirty-two billion, one hundred thirty-three million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 7 97 679 17867648189 125073537323 1733161874333 12132133120331