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13312220231400 = 2335267331149757
BaseRepresentation
bin1100000110110111111000…
…1010000111011011101000
31202010122011111221122001120
43001231332022013123220
53221101411334401100
644151314411415240
72542530140646606
oct301557612073350
952118144848046
1013312220231400
1142727542a9792
1215abbb7754520
1375744c46a67c
1434045a112876
15181434aba0a0
hexc1b7e2876e8

13312220231400 has 96 divisors (see below), whose sum is σ = 41883821391840. Its totient is φ = 3496941423360.

The previous prime is 13312220231399. The next prime is 13312220231419. The reversal of 13312220231400 is 413202221331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165534679 + ... + 165615078.

It is an arithmetic number, because the mean of its divisors is an integer number (436289806165).

Almost surely, 213312220231400 is an apocalyptic number.

13312220231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312220231400 is an abundant number, since it is smaller than the sum of its proper divisors (28571601160440).

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

13312220231400 is a wasteful number, since it uses less digits than its factorization.

13312220231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331149843 (or 331149834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13312220231400 its reverse (413202221331), we get a palindrome (13725422452731).

The spelling of 13312220231400 in words is "thirteen trillion, three hundred twelve billion, two hundred twenty million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 331149757 662299514 993449271 1324599028 1655748785 1986898542 2649198056 3311497570 3973797084 4967246355 6622995140 7947594168 8278743925 9934492710 13245990280 16557487850 19868985420 22187033719 24836231775 33114975700 39737970840 44374067438 49672463550 66229951400 66561101157 88748134876 99344927100 110935168595 133122202314 177496269752 198689854200 221870337190 266244404628 332805505785 443740674380 532488809256 554675842975 665611011570 887481348760 1109351685950 1331222023140 1664027528925 2218703371900 2662444046280 3328055057850 4437406743800 6656110115700 13312220231400