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13321355380 = 22517269314549
BaseRepresentation
bin11000110100000001…
…11100000001110100
31021101101110222011121
430122000330001310
5204240231333010
610041510513324
7651054436534
oct143200740164
937341428147
1013321355380
115716615513
1226b9365844
131343b38b08
149052db4c4
1552e77d3da
hex31a03c074

13321355380 has 48 divisors (see below), whose sum is σ = 29633461200. Its totient is φ = 5012891648.

The previous prime is 13321355353. The next prime is 13321355381. The reversal of 13321355380 is 8355312331.

It can be written as a sum of positive squares in 8 ways, for example, as 609694864 + 12711660516 = 24692^2 + 112746^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321355381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 908346 + ... + 922894.

It is an arithmetic number, because the mean of its divisors is an integer number (617363775).

Almost surely, 213321355380 is an apocalyptic number.

13321355380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321355380 is an abundant number, since it is smaller than the sum of its proper divisors (16312105820).

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

13321355380 is a wasteful number, since it uses less digits than its factorization.

13321355380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268 (or 17266 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 13321355380 in words is "thirteen billion, three hundred twenty-one million, three hundred fifty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2693 5386 10772 13465 14549 26930 29098 45781 53860 58196 72745 91562 145490 183124 228905 247333 290980 457810 494666 915620 989332 1236665 2473330 4946660 39180457 78360914 156721828 195902285 391804570 666067769 783609140 1332135538 2664271076 3330338845 6660677690 13321355380