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20331332231320 = 23511107697161949
BaseRepresentation
bin1001001111101110000011…
…10101011110000010011000
32122222122201111111210120201
410213313001311132002120
510131102032022400240
6111124030213431544
74165614236354365
oct447670165360230
978878644453521
1020331332231320
11652951900a490
12234442203b5b4
13b4630c4b9196
1450408271946c
15253ce80c8d9a
hex127dc1d5e098

20331332231320 has 128 divisors (see below), whose sum is σ = 50378612256000. Its totient is φ = 7322947417600.

The previous prime is 20331332231311. The next prime is 20331332231351. The reversal of 20331332231320 is 2313223313302.

It is a super-2 number, since 2×203313322313202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328163706 + ... + 328225654.

It is an arithmetic number, because the mean of its divisors is an integer number (393582908250).

Almost surely, 220331332231320 is an apocalyptic number.

20331332231320 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 20331332231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25189306128000).

20331332231320 is an abundant number, since it is smaller than the sum of its proper divisors (30047280024680).

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

20331332231320 is a wasteful number, since it uses less digits than its factorization.

20331332231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69049 (or 69045 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 20331332231320 its reverse (2313223313302), we get a palindrome (22644555544622).

The spelling of 20331332231320 in words is "twenty trillion, three hundred thirty-one billion, three hundred thirty-two million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 6971 9416 11770 13942 23540 27884 34855 47080 55768 61949 69710 76681 123898 139420 153362 247796 278840 306724 309745 383405 495592 613448 619490 681439 745897 766810 1238980 1362878 1491794 1533620 2477960 2725756 2983588 3067240 3407195 3729485 5451512 5967176 6628543 6814390 7458970 8204867 13257086 13628780 14917940 16409734 26514172 27257560 29835880 32819468 33142715 41024335 53028344 65638936 66285430 72913973 82048670 132570860 145827946 164097340 265141720 291655892 328194680 364569865 431846479 583311784 729139730 863692958 1458279460 1727385916 2159232395 2916558920 3454771832 4318464790 4750311269 8636929580 9500622538 17273859160 19001245076 23751556345 38002490152 46207573253 47503112690 92415146506 95006225380 184830293012 190012450760 231037866265 369660586024 462075732530 508283305783 924151465060 1016566611566 1848302930120 2033133223132 2541416528915 4066266446264 5082833057830 10165666115660 20331332231320