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220120020201000 = 23353166744015201
BaseRepresentation
bin110010000011001010101111…
…100111001010111000101000
31001212101021020200021111021210
4302003022233213022320220
5212322421300132413000
62100053424041033120
764236101205246033
oct6203125747127050
91055337220244253
10220120020201000
1164156415982847
12208308994857a0
1395a92c89b0a1a
143c4dc19b6601a
151a6ac60a6b350
hexc832af9cae28

220120020201000 has 128 divisors (see below), whose sum is σ = 687186460920960. Its totient is φ = 58663458560000.

The previous prime is 220120020200917. The next prime is 220120020201061. The reversal of 220120020201000 is 102020021022.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 17006601 + ... + 27008600.

It is an arithmetic number, because the mean of its divisors is an integer number (5368644225945).

Almost surely, 2220120020201000 is an apocalyptic number.

220120020201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120020201000 is an abundant number, since it is smaller than the sum of its proper divisors (467066440719960).

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

220120020201000 is a wasteful number, since it uses less digits than its factorization.

220120020201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44016892 (or 44016878 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220120020201000 its reverse (102020021022), we get a palindrome (220222040222022).

The spelling of 220120020201000 in words is "two hundred twenty trillion, one hundred twenty billion, twenty million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1667 3000 3334 5001 6668 8335 10002 13336 16670 20004 25005 33340 40008 41675 50010 66680 83350 100020 125025 166700 200040 208375 250050 333400 416750 500100 625125 833500 1000200 1250250 1667000 2500500 5001000 44015201 88030402 132045603 176060804 220076005 264091206 352121608 440152010 528182412 660228015 880304020 1056364824 1100380025 1320456030 1760608040 2200760050 2640912060 3301140075 4401520100 5281824120 5501900125 6602280150 8803040200 11003800250 13204560300 16505700375 22007600500 26409120600 33011400750 44015201000 66022801500 73373340067 132045603000 146746680134 220120020201 293493360268 366866700335 440240040402 586986720536 733733400670 880480080804 1100600101005 1467466801340 1760960161608 1834333501675 2201200202010 2934933602680 3668667003350 4402400404020 5503000505025 7337334006700 8804800808040 9171667508375 11006001010050 14674668013400 18343335016750 22012002020100 27515002525125 36686670033500 44024004040200 55030005050250 73373340067000 110060010100500 220120020201000