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221011020011020 = 225191214127023021
BaseRepresentation
bin110010010000001000100011…
…010101101101011000001100
31001222112110001222121112220111
4302100020203111231120030
5212432021032110323040
62102015021055125404
764360343051544451
oct6220104325553014
91058473058545814
10221011020011020
116446a27a0616a8
12209554bb513864
139642332951215
143c80dc1ac7828
151a8400cd7edea
hexc9022356d60c

221011020011020 has 48 divisors (see below), whose sum is σ = 466771037031936. Its totient is φ = 87900479456000.

The previous prime is 221011020010987. The next prime is 221011020011029. The reversal of 221011020011020 is 20110020110122.

It is a super-2 number, since 2×2210110200110202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221011020011029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5332891 + ... + 21690130.

It is an arithmetic number, because the mean of its divisors is an integer number (9724396604832).

Almost surely, 2221011020011020 is an apocalyptic number.

221011020011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011020011020 is an abundant number, since it is smaller than the sum of its proper divisors (245760017020916).

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

221011020011020 is a wasteful number, since it uses less digits than its factorization.

221011020011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27025362 (or 27025360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221011020011020 its reverse (20110020110122), we get a palindrome (241121040121142).

The spelling of 221011020011020 in words is "two hundred twenty-one trillion, eleven billion, twenty million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 191 382 764 955 1910 2141 3820 4282 8564 10705 21410 42820 408931 817862 1635724 2044655 4089310 8178620 27023021 54046042 108092084 135115105 270230210 540460420 5161397011 10322794022 20645588044 25806985055 51613970110 57856287961 103227940220 115712575922 231425151844 289281439805 578562879610 1157125759220 11050551000551 22101102001102 44202204002204 55252755002755 110505510005510 221011020011020