Search a number
-
+
13003344132 = 22317714312083
BaseRepresentation
bin11000001110000111…
…10100100100000100
31020120020002022202020
430013003310210010
5203112324003012
65550150443140
7640143413202
oct140703644404
936506068666
1013003344132
1155730599a9
12262a9634b0
1312c2ca2b8c
148b4d9a072
155118b2a8c
hex3070f4904

13003344132 has 96 divisors (see below), whose sum is σ = 32669650944. Its totient is φ = 4010764800.

The previous prime is 13003344113. The next prime is 13003344143. The reversal of 13003344132 is 23144330031.

It is a super-3 number, since 3×130033441323 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6241563 + ... + 6243645.

It is an arithmetic number, because the mean of its divisors is an integer number (340308864).

Almost surely, 213003344132 is an apocalyptic number.

13003344132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003344132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334825472).

13003344132 is an abundant number, since it is smaller than the sum of its proper divisors (19666306812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13003344132 is a wasteful number, since it uses less digits than its factorization.

13003344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13003344132 its reverse (23144330031), we get a palindrome (36147674163).

The spelling of 13003344132 in words is "thirteen billion, three million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 431 852 862 1207 1293 1724 2083 2414 2586 3621 4166 4828 5172 6249 7242 7327 8332 12498 14484 14654 21981 24996 29308 30601 35411 43962 61202 70822 87924 91803 106233 122404 141644 147893 183606 212466 295786 367212 424932 443679 520217 591572 887358 897773 1040434 1560651 1774716 1795546 2080868 2514181 2693319 3121302 3591092 5028362 5386638 6242604 7542543 10056724 10773276 15085086 15262141 30170172 30524282 45786423 61048564 63741883 91572846 127483766 183145692 191225649 254967532 382451298 764902596 1083612011 2167224022 3250836033 4334448044 6501672066 13003344132