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13010203201203 = 32131727749235723
BaseRepresentation
bin1011110101010010110010…
…0010100100111010110011
31201001202121102121212001100
42331110230202210322303
53201124344004414303
643400445502335443
72511645651362565
oct275245442447263
951052542555040
1013010203201203
11416666159388a
12156156a88a583
13734b1a7b0c90
1432d9a9161335
1517865a2d28a3
hexbd52c8a4eb3

13010203201203 has 48 divisors (see below), whose sum is σ = 21429433116000. Its totient is φ = 7535017792512.

The previous prime is 13010203201201. The next prime is 13010203201213. The reversal of 13010203201203 is 30210230201031.

13010203201203 is a `hidden beast` number, since 1 + 301 + 0 + 20 + 320 + 1 + 20 + 3 = 666.

It is not a de Polignac number, because 13010203201203 - 21 = 13010203201201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13010203201201) 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 47 ways as a sum of consecutive naturals, for example, 55074900 + ... + 55310622.

It is an arithmetic number, because the mean of its divisors is an integer number (446446523250).

Almost surely, 213010203201203 is an apocalyptic number.

13010203201203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13010203201203 is a deficient number, since it is larger than the sum of its proper divisors (8419229914797).

13010203201203 is a wasteful number, since it uses less digits than its factorization.

13010203201203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263508 (or 263505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13010203201203 its reverse (30210230201031), we get a palindrome (43220433402234).

The spelling of 13010203201203 in words is "thirteen trillion, ten billion, two hundred three million, two hundred one thousand, two hundred three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 27749 83247 235723 249741 360737 471733 707169 1082211 1415199 2121507 3064399 3246633 4007291 4245597 6132529 9193197 12021873 18397587 27579591 36065619 52094783 55192761 156284349 468853047 6541077527 19623232581 58869697743 85034007851 111198317959 255102023553 333594953877 765306070659 1000784861631 1445578133467 4336734400401 13010203201203