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13200002123 = 711292474337
BaseRepresentation
bin11000100101100100…
…00000110001001011
31021001221010120210112
430102302000301023
5204013200031443
610021453504535
7645052111130
oct142262006113
937057116715
1013200002123
115664069a70
1226847a214b
131324959c59
148d314c587
15523cabb18
hex312c80c4b

13200002123 has 48 divisors (see below), whose sum is σ = 17410857984. Its totient is φ = 9717496320.

The previous prime is 13200002117. The next prime is 13200002129. The reversal of 13200002123 is 32120000231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13200002117) and next prime (13200002129).

It is not a de Polignac number, because 13200002123 - 210 = 13200001099 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13200002098 and 13200002107.

It is not an unprimeable number, because it can be changed into a prime (13200002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3041411 + ... + 3045747.

It is an arithmetic number, because the mean of its divisors is an integer number (362726208).

Almost surely, 213200002123 is an apocalyptic number.

13200002123 is a deficient number, since it is larger than the sum of its proper divisors (4210855861).

13200002123 is a wasteful number, since it uses less digits than its factorization.

13200002123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13200002123 its reverse (32120000231), we get a palindrome (45320002354).

The spelling of 13200002123 in words is "thirteen billion, two hundred million, two thousand, one hundred twenty-three".

Divisors: 1 7 11 29 47 77 203 319 329 517 841 1363 2233 3619 4337 5887 9251 9541 14993 30359 39527 47707 64757 104951 125773 203839 276689 333949 434797 880411 1383503 1426873 2242229 3043579 3647417 5911331 9684521 15695603 25531919 40121587 41379317 65024641 171428599 280851109 455172487 1200000193 1885714589 13200002123