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12132101223029 = 269187324079417
BaseRepresentation
bin1011000010001011100110…
…0101010111001001110101
31120221211001222211112112102
42300202321211113021311
53042233020403114104
641445224345431445
72361341530616354
oct260427145271165
946854058745472
1012132101223029
113958216947997
12143b34819b585
136a008a9bcb48
142dd2a817199b
151608b548da1e
hexb08b9957275

12132101223029 has 8 divisors (see below), whose sum is σ = 12183703919640. Its totient is φ = 12080546689536.

The previous prime is 12132101223017. The next prime is 12132101223037. The reversal of 12132101223029 is 92032210123121.

12132101223029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 399900670129 + 11732200552900 = 632377^2 + 3425230^2 .

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 12132101223029 - 236 = 12063381746293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12132101222992 and 12132101223010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132101223059) 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, 11535872 + ... + 12543545.

It is an arithmetic number, because the mean of its divisors is an integer number (1522962989955).

Almost surely, 212132101223029 is an apocalyptic number.

It is an amenable number.

12132101223029 is a deficient number, since it is larger than the sum of its proper divisors (51602696611).

12132101223029 is a wasteful number, since it uses less digits than its factorization.

12132101223029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24081559.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 12132101223029 in words is "twelve trillion, one hundred thirty-two billion, one hundred one million, two hundred twenty-three thousand, twenty-nine".

Divisors: 1 269 1873 503837 24079417 6477363173 45100748041 12132101223029