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211121120020 = 22529009363889
BaseRepresentation
bin1100010010011111001…
…1001010001100010100
3202011221101122010011111
43010213303022030110
511424334001320040
6240553202144404
721152530624306
oct3044763121424
9664841563144
10211121120020
1181599406288
1234b00052104
1316ba7373475
14a30b0bd976
15575998adea
hex3127cca314

211121120020 has 24 divisors (see below), whose sum is σ = 443370853800. Its totient is φ = 84445304832.

The previous prime is 211121120017. The next prime is 211121120053. The reversal of 211121120020 is 20021121112.

It can be written as a sum of positive squares in 4 ways, for example, as 14904014724 + 196217105296 = 122082^2 + 442964^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398236 + ... + 762124.

It is an arithmetic number, because the mean of its divisors is an integer number (18473785575).

Almost surely, 2211121120020 is an apocalyptic number.

211121120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121120020 is an abundant number, since it is smaller than the sum of its proper divisors (232249733780).

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

211121120020 is a wasteful number, since it uses less digits than its factorization.

211121120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392907 (or 392905 counting only the distinct ones).

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

Adding to 211121120020 its reverse (20021121112), we get a palindrome (231142241132).

The spelling of 211121120020 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29009 58018 116036 145045 290090 363889 580180 727778 1455556 1819445 3638890 7277780 10556056001 21112112002 42224224004 52780280005 105560560010 211121120020