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220133031133320 = 23335461442140739
BaseRepresentation
bin110010000011010110110111…
…000111111100000010001000
31001212102111211102122100002000
4302003112313013330002020
5212323124421432231240
62100103415102311000
764240041503325234
oct6203266707740210
91055374742570060
10220133031133320
1164160992244878
122083330a888460
1395aa5c040c746
143c506d1b395c4
151a6b272e2c430
hexc835b71fc088

220133031133320 has 128 divisors (see below), whose sum is σ = 735368478768000. Its totient is φ = 58574804970240.

The previous prime is 220133031133207. The next prime is 220133031133333. The reversal of 220133031133320 is 23331130331022.

220133031133320 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 303 + 1 + 1 + 33 + 320 = 666.

It is a super-2 number, since 2×2201330311333202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 220572490 + ... + 221568249.

It is an arithmetic number, because the mean of its divisors is an integer number (5745066240375).

Almost surely, 2220133031133320 is an apocalyptic number.

220133031133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220133031133320 is an abundant number, since it is smaller than the sum of its proper divisors (515235447634680).

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

220133031133320 is a wasteful number, since it uses less digits than its factorization.

220133031133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442141220 (or 442141210 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 220133031133320 its reverse (23331130331022), we get a palindrome (243464161464342).

The spelling of 220133031133320 in words is "two hundred twenty trillion, one hundred thirty-three billion, thirty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 461 540 922 1080 1383 1844 2305 2766 3688 4149 4610 5532 6915 8298 9220 11064 12447 13830 16596 18440 20745 24894 27660 33192 41490 49788 55320 62235 82980 99576 124470 165960 248940 497880 442140739 884281478 1326422217 1768562956 2210703695 2652844434 3537125912 3979266651 4421407390 5305688868 6632111085 7958533302 8842814780 10611377736 11937799953 13264222170 15917066604 17685629560 19896333255 23875599906 26528444340 31834133208 39792666510 47751199812 53056888680 59688999765 79585333020 95502399624 119377999530 159170666040 203826880679 238755999060 407653761358 477511998120 611480642037 815307522716 1019134403395 1222961284074 1630615045432 1834441926111 2038268806790 2445922568148 3057403210185 3668883852222 4076537613580 4891845136296 5503325778333 6114806420370 7337767704444 8153075227160 9172209630555 11006651556666 12229612840740 14675535408888 18344419261110 22013303113332 24459225681480 27516628891665 36688838522220 44026606226664 55033257783330 73377677044440 110066515566660 220133031133320