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13004213310 = 2335114378523
BaseRepresentation
bin11000001110001110…
…01000110000111110
31020120021201111001000
430013013020300332
5203113034311220
65550221231130
7640153663224
oct140707106076
936507644030
1013004213310
1155735a2a30
12262b1024a6
1312c321869a
148b5144b14
155119d5390
hex3071c8c3e

13004213310 has 64 divisors (see below), whose sum is σ = 37830447360. Its totient is φ = 3152535840.

The previous prime is 13004213309. The next prime is 13004213311. The reversal of 13004213310 is 1331240031.

13004213310 is a `hidden beast` number, since 1 + 300 + 42 + 13 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (13004213309) and next prime (13004213311).

It is a super-2 number, since 2×130042133102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004213311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186292 + ... + 2192231.

It is an arithmetic number, because the mean of its divisors is an integer number (591100740).

Almost surely, 213004213310 is an apocalyptic number.

13004213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13004213310 is an abundant number, since it is smaller than the sum of its proper divisors (24826234050).

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

13004213310 is a wasteful number, since it uses less digits than its factorization.

13004213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378550 (or 4378544 counting only the distinct ones).

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

Adding to 13004213310 its reverse (1331240031), we get a palindrome (14335453341).

The spelling of 13004213310 in words is "thirteen billion, four million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4378523 8757046 13135569 21892615 26271138 39406707 43785230 48163753 65677845 78813414 96327506 118220121 131355690 144491259 197033535 236440242 240818765 288982518 394067070 433473777 481637530 591100605 722456295 866947554 1182201210 1300421331 1444912590 2167368885 2600842662 4334737770 6502106655 13004213310