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221000211101022 = 232937229714944477
BaseRepresentation
bin110010001111111110011111…
…000100111111010101011110
31001222111102011200202000212120
4302033332133010333111132
5212431331413020213042
62102010032334443410
764356511152406353
oct6217763704772536
91058442150660776
10221000211101022
1164465732780631
12209533a3663566
1396412cc4b14a2
143c8067835a62a
151a83ac8e89dec
hexc8ff9f13f55e

221000211101022 has 64 divisors (see below), whose sum is σ = 469804174873920. Its totient is φ = 69174034062336.

The previous prime is 221000211100987. The next prime is 221000211101081. The reversal of 221000211101022 is 220101112000122.

It is a junction number, because it is equal to n+sod(n) for n = 221000211100992 and 221000211101010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7315848 + ... + 22260324.

It is an arithmetic number, because the mean of its divisors is an integer number (7340690232405).

Almost surely, 2221000211101022 is an apocalyptic number.

221000211101022 is an abundant number, since it is smaller than the sum of its proper divisors (248803963772898).

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

221000211101022 is a wasteful number, since it uses less digits than its factorization.

221000211101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14946845.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221000211101022 its reverse (220101112000122), we get a palindrome (441101323101144).

The spelling of 221000211101022 in words is "two hundred twenty-one trillion, two hundred eleven million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 29 37 58 74 87 111 174 222 1073 2146 2297 3219 4594 6438 6891 13782 66613 84989 133226 169978 199839 254967 399678 509934 2464681 4929362 7394043 14788086 14944477 29888954 44833431 89666862 433389833 552945649 866779666 1105891298 1300169499 1658836947 2600338998 3317673894 16035423821 32070847642 34327463669 48106271463 68654927338 96212542926 102982391007 205964782014 995496446401 1270116155753 1990992892802 2540232311506 2986489339203 3810348467259 5972978678406 7620696934518 36833368516837 73666737033674 110500105550511 221000211101022