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13312142202320 = 2451319673691407
BaseRepresentation
bin1100000110110111100110…
…0000011101010111010000
31202010121222002010100021122
43001231321200131113100
53221101231400433240
644151302543141412
72542525202502563
oct301557140352720
952117862110248
1013312142202320
114272714254345
1215abb955a4868
1375743924a410
1434044da004da
1518142cd054b5
hexc1b7981d5d0

13312142202320 has 80 divisors (see below), whose sum is σ = 35085848528640. Its totient is φ = 4656554998272.

The previous prime is 13312142202313. The next prime is 13312142202349. The reversal of 13312142202320 is 2320224121331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13312142202320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336825944 + ... + 336865463.

It is an arithmetic number, because the mean of its divisors is an integer number (438573106608).

Almost surely, 213312142202320 is an apocalyptic number.

13312142202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312142202320 is an abundant number, since it is smaller than the sum of its proper divisors (21773706326320).

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

13312142202320 is a wasteful number, since it uses less digits than its factorization.

13312142202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673691452 (or 673691446 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13312142202320 its reverse (2320224121331), we get a palindrome (15632366323651).

The spelling of 13312142202320 in words is "thirteen trillion, three hundred twelve billion, one hundred forty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 673691407 1347382814 2694765628 3368457035 5389531256 6736914070 8757988291 10779062512 12800136733 13473828140 17515976582 25600273466 26947656280 35031953164 43789941455 51200546932 53895312560 64000683665 70063906328 87579882910 102401093864 128001367330 140127812656 166401777529 175159765820 204802187728 256002734660 332803555058 350319531640 512005469320 665607110116 700639063280 832008887645 1024010938640 1331214220232 1664017775290 2662428440464 3328035550580 6656071101160 13312142202320