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23332311201320 = 23511499284337379
BaseRepresentation
bin1010100111000011110100…
…00111101111011000101000
310001121112202212212220101222
411103201322013233120220
511024234033131420240
6121342414340001212
74625463264623432
oct523417207573050
9101545685786358
1023332311201320
1174861a5445880
122749b5b990208
1310032c5aa2074
145a940b647652
152a6dd8747eb5
hex15387a1ef628

23332311201320 has 128 divisors (see below), whose sum is σ = 57406708800000. Its totient is φ = 8464269031680.

The previous prime is 23332311201319. The next prime is 23332311201341. The reversal of 23332311201320 is 2310211323332.

23332311201320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 23332311201320.

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 31 ways as a sum of consecutive naturals, for example, 624190391 + ... + 624227769.

It is an arithmetic number, because the mean of its divisors is an integer number (448489912500).

Almost surely, 223332311201320 is an apocalyptic number.

23332311201320 is a gapful number since it is divisible by the number (20) 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 23332311201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28703354400000).

23332311201320 is an abundant number, since it is smaller than the sum of its proper divisors (34074397598680).

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

23332311201320 is a wasteful number, since it uses less digits than its factorization.

23332311201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40743 (or 40739 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 23332311201320 its reverse (2310211323332), we get a palindrome (25642522524652).

The spelling of 23332311201320 in words is "twenty-three trillion, three hundred thirty-two billion, three hundred eleven million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 499 998 1996 2495 2843 3992 4990 5489 5686 9980 10978 11372 14215 19960 21956 22744 27445 28430 31273 37379 43912 54890 56860 62546 74758 109780 113720 125092 149516 156365 186895 219560 250184 299032 312730 373790 411169 625460 747580 822338 1250920 1418657 1495160 1644676 2055845 2837314 3289352 4111690 5674628 7093285 8223380 11349256 14186570 15605227 16446760 18652121 28373140 31210454 37304242 56746280 62420908 74608484 78026135 93260605 106268497 124841816 149216968 156052270 186521210 205173331 212536994 312104540 373042420 410346662 425073988 531342485 624209080 746084840 820693324 850147976 1025866655 1062684970 1168953467 1641386648 2051733310 2125369940 2337906934 4103466620 4250739880 4675813868 5844767335 8206933240 9351627736 11689534670 23379069340 46758138680 53027980003 106055960006 212111920012 265139900015 424223840024 530279800030 583307780033 1060559600060 1166615560066 2121119200120 2333231120132 2916538900165 4666462240264 5833077800330 11666155600660 23332311201320