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12132102202001 = 53293821951589
BaseRepresentation
bin1011000010001011100110…
…1001000110001010010001
31120221211002001200021102122
42300202321221012022101
53042233021130431001
641445224422424025
72361341542134455
oct260427151061221
946854061607378
1012132102202001
113958217456461
12143b348592015
136a008ac73612
142dd2a8348665
151608b55d3b1b
hexb08b9a46291

12132102202001 has 16 divisors (see below), whose sum is σ = 12418318014480. Its totient is φ = 11848107997440.

The previous prime is 12132102201991. The next prime is 12132102202007. The reversal of 12132102202001 is 10020220123121.

It can be written as a sum of positive squares in 8 ways, for example, as 1965085294225 + 10167016907776 = 1401815^2 + 3188576^2 .

It is a cyclic number.

It is not a de Polignac number, because 12132102202001 - 214 = 12132102185617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12132102202007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12273515 + ... + 13225103.

It is an arithmetic number, because the mean of its divisors is an integer number (776144875905).

Almost surely, 212132102202001 is an apocalyptic number.

It is an amenable number.

12132102202001 is a deficient number, since it is larger than the sum of its proper divisors (286215812479).

12132102202001 is an equidigital number, since it uses as much as digits as its factorization.

12132102202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952756.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12132102202001 its reverse (10020220123121), we get a palindrome (22152322325122).

The spelling of 12132102202001 in words is "twelve trillion, one hundred thirty-two billion, one hundred two million, two hundred two thousand, one".

Divisors: 1 53 293 821 15529 43513 240553 951589 12749309 50434217 278815577 781254569 14777225581 41406492157 228907588717 12132102202001