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13301200330320 = 24357192343421339
BaseRepresentation
bin1100000110001110110101…
…0100100001111001010000
31202002120201112001122200010
43001203231110201321100
53220411324241032240
644142253112554520
72541660100226250
oct301435524417120
952076645048603
1013301200330320
114269009908a21
1215a9a410b2a40
137563b4395946
1433dad2741960
15180edc3e9280
hexc18ed521e50

13301200330320 has 640 divisors, whose sum is σ = 52965067161600. Its totient is φ = 2690954348544.

The previous prime is 13301200330279. The next prime is 13301200330321. The reversal of 13301200330320 is 2303300210331.

It is a super-2 number, since 2×133012003303202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301200330321) 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 127 ways as a sum of consecutive naturals, for example, 31358211 + ... + 31779549.

It is an arithmetic number, because the mean of its divisors is an integer number (82757917440).

Almost surely, 213301200330320 is an apocalyptic number.

13301200330320 is a gapful number since it is divisible by the number (10) 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 13301200330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26482533580800).

13301200330320 is an abundant number, since it is smaller than the sum of its proper divisors (39663866831280).

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

13301200330320 is a wasteful number, since it uses less digits than its factorization.

13301200330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421447 (or 421441 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13301200330320 its reverse (2303300210331), we get a palindrome (15604500540651).

The spelling of 13301200330320 in words is "thirteen trillion, three hundred one billion, two hundred million, three hundred thirty thousand, three hundred twenty".