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13000331223 = 3311594911511
BaseRepresentation
bin11000001101110000…
…10100111111010111
31020120000102020211000
430012320110333113
5203111041044343
65550002114343
7640105664205
oct140670247727
936500366730
1013000331223
1155713912a0
12262994b9b3
1312c24896a9
148b4814075
155114b9ed3
hex306e14fd7

13000331223 has 64 divisors (see below), whose sum is σ = 21424435200. Its totient is φ = 7724556000.

The previous prime is 13000331219. The next prime is 13000331231. The reversal of 13000331223 is 32213300031.

It is not a de Polignac number, because 13000331223 - 22 = 13000331219 is a prime.

It is a super-2 number, since 2×130003312232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13000331196 and 13000331205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000331233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8603038 + ... + 8604548.

It is an arithmetic number, because the mean of its divisors is an integer number (334756800).

Almost surely, 213000331223 is an apocalyptic number.

13000331223 is a deficient number, since it is larger than the sum of its proper divisors (8424103977).

13000331223 is a wasteful number, since it uses less digits than its factorization.

13000331223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13000331223 its reverse (32213300031), we get a palindrome (45213631254).

The spelling of 13000331223 in words is "thirteen billion, three hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 33 59 99 177 297 491 531 649 1473 1511 1593 1947 4419 4533 5401 5841 13257 13599 16203 16621 17523 28969 40797 48609 49863 86907 89149 145827 149589 260721 267447 318659 448767 741901 782163 802341 955977 980639 2225703 2407023 2867931 2941917 6677109 8160911 8603793 8825751 20031327 24482733 26477253 43772159 73448199 131316477 220344597 393949431 481493749 1181848293 1444481247 4333443741 13000331223