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13032010311129 = 32291671193250619
BaseRepresentation
bin1011110110100100000001…
…0110000110010111011001
31201010211220012112211002100
42331221000112012113121
53202004024114424004
643414453424354013
72513350235635545
oct275510026062731
951124805484070
1013032010311129
114174932093287
121565835a75909
13736bb4697c14
14330a77450a25
15178ed4a0d739
hexbda405865d9

13032010311129 has 48 divisors (see below), whose sum is σ = 19606223145600. Its totient is φ = 8331167862528.

The previous prime is 13032010311049. The next prime is 13032010311163. The reversal of 13032010311129 is 92111301023031.

13032010311129 is a `hidden beast` number, since 1 + 3 + 0 + 320 + 1 + 0 + 311 + 1 + 29 = 666.

It is not a de Polignac number, because 13032010311129 - 211 = 13032010309081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13032010311629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51873982 + ... + 52124600.

It is an arithmetic number, because the mean of its divisors is an integer number (408462982200).

Almost surely, 213032010311129 is an apocalyptic number.

It is an amenable number.

13032010311129 is a deficient number, since it is larger than the sum of its proper divisors (6574212834471).

13032010311129 is a wasteful number, since it uses less digits than its factorization.

13032010311129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252014 (or 252011 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 13032010311129 in words is "thirteen trillion, thirty-two billion, ten million, three hundred eleven thousand, one hundred twenty-nine".

Divisors: 1 3 9 29 87 167 261 501 1193 1503 3579 4843 10737 14529 34597 43587 103791 199231 250619 311373 597693 751857 1793079 2255571 5777699 7267951 17333097 21803853 41853373 51999291 65411559 125560119 298988467 376680357 896965401 1213747817 2690896203 3641243451 8670665543 10923730353 26011996629 49931073989 78035989887 149793221967 449379665901 1448001145681 4344003437043 13032010311129