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221000001022020 = 223511558159997937
BaseRepresentation
bin110010001111111110010010…
…100011100110100001000100
31001222111101122001102220122210
4302033332102203212201010
5212431331000230201040
62102005555432023420
764356503021643213
oct6217762243464104
91058441561386583
10221000001022020
1164465635134120
1220953345231b70
139641297b0869c
143c806584b307a
151a83ab57de480
hexc8ff928e6844

221000001022020 has 96 divisors (see below), whose sum is σ = 675175515670656. Its totient is φ = 53566157260800.

The previous prime is 221000001021979. The next prime is 221000001022037. The reversal of 221000001022020 is 20220100000122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221000001021987 and 221000001022005.

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, 26315509 + ... + 33682428.

It is an arithmetic number, because the mean of its divisors is an integer number (7033078288236).

Almost surely, 2221000001022020 is an apocalyptic number.

221000001022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000001022020 is an abundant number, since it is smaller than the sum of its proper divisors (454175514648636).

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

221000001022020 is a wasteful number, since it uses less digits than its factorization.

221000001022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60003541 (or 60003539 counting only the distinct ones).

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

Adding to 221000001022020 its reverse (20220100000122), we get a palindrome (241220101022142).

The spelling of 221000001022020 in words is "two hundred twenty-one trillion, one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 5581 11162 16743 22324 27905 33486 55810 61391 66972 83715 111620 122782 167430 184173 245564 306955 334860 368346 613910 736692 920865 1227820 1841730 3683460 59997937 119995874 179993811 239991748 299989685 359987622 599979370 659977307 719975244 899969055 1199958740 1319954614 1799938110 1979931921 2639909228 3299886535 3599876220 3959863842 6599773070 7919727684 9899659605 13199546140 19799319210 39598638420 334848486397 669696972794 1004545459191 1339393945588 1674242431985 2009090918382 3348484863970 3683333350367 4018181836764 5022727295955 6696969727940 7366666700734 10045454591910 11050000051101 14733333401468 18416666751835 20090909183820 22100000102202 36833333503670 44200000204404 55250000255505 73666667007340 110500000511010 221000001022020