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13321002330 = 2325374000301
BaseRepresentation
bin11000110011111111…
…00101110101011010
31021101100211000212200
430121333211311122
5204240134033310
610041455151030
7651051436326
oct143177456532
937340730780
1013321002330
1157163a4239
1226b9215476
131343a441cc
14905248986
1552e70d9c0
hex319fe5d5a

13321002330 has 48 divisors (see below), whose sum is σ = 35570685384. Its totient is φ = 3456259200.

The previous prime is 13321002329. The next prime is 13321002347. The reversal of 13321002330 is 3320012331.

13321002330 is a `hidden beast` number, since 1 + 332 + 1 + 0 + 0 + 2 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12283067241 + 1037935089 = 110829^2 + 32217^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996821 + ... + 2003480.

Almost surely, 213321002330 is an apocalyptic number.

13321002330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13321002330 is an abundant number, since it is smaller than the sum of its proper divisors (22249683054).

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

13321002330 is a wasteful number, since it uses less digits than its factorization.

13321002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000351 (or 4000348 counting only the distinct ones).

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

Adding to 13321002330 its reverse (3320012331), we get a palindrome (16641014661).

The spelling of 13321002330 in words is "thirteen billion, three hundred twenty-one million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 4000301 8000602 12000903 20001505 24001806 36002709 40003010 60004515 72005418 120009030 148011137 180013545 296022274 360027090 444033411 740055685 888066822 1332100233 1480111370 2220167055 2664200466 4440334110 6660501165 13321002330