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212210220100 = 22524314923671
BaseRepresentation
bin1100010110100010110…
…1101111110001000100
3202021202021222010121111
43011220231233301010
511434101304020400
6241253225254404
721221524052224
oct3055055576104
9667667863544
10212210220100
1181aa815629a
1235164934404
131701bba8a98
14a3b19c2084
1557c03bc3ba
hex3168b6fc44

212210220100 has 36 divisors (see below), whose sum is σ = 461564707968. Its totient is φ = 84687124000.

The previous prime is 212210220059. The next prime is 212210220119. The reversal of 212210220100 is 1022012212.

It is a happy number.

212210220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2418736 + ... + 2504935.

It is an arithmetic number, because the mean of its divisors is an integer number (12821241888).

Almost surely, 2212210220100 is an apocalyptic number.

212210220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210220100 is an abundant number, since it is smaller than the sum of its proper divisors (249354487868).

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

212210220100 is a wasteful number, since it uses less digits than its factorization.

212210220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924116 (or 4924109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212210220100 its reverse (1022012212), we get a palindrome (213232232312).

The spelling of 212210220100 in words is "two hundred twelve billion, two hundred ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 431 862 1724 2155 4310 8620 10775 21550 43100 4923671 9847342 19694684 24618355 49236710 98473420 123091775 246183550 492367100 2122102201 4244204402 8488408804 10610511005 21221022010 42442044020 53052555025 106105110050 212210220100