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212110212200 = 23522693942569
BaseRepresentation
bin1100010110001011000…
…0001111110001101000
3202021111022210012120012
43011202300033301220
511433400203242300
6241235253551052
721216201025055
oct3054260176150
9667438705505
10212110212200
1181a56759937
1235137345488
1317004261803
14a3a25cc02c
1557b6715435
hex3162c0fc68

212110212200 has 48 divisors (see below), whose sum is σ = 494989663500. Its totient is φ = 84528657920.

The previous prime is 212110212113. The next prime is 212110212229. The reversal of 212110212200 is 2212011212.

It can be written as a sum of positive squares in 6 ways, for example, as 6707282404 + 205402929796 = 81898^2 + 453214^2 .

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 11 ways as a sum of consecutive naturals, for example, 1917485 + ... + 2025084.

Almost surely, 2212110212200 is an apocalyptic number.

212110212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110212200 is an abundant number, since it is smaller than the sum of its proper divisors (282879451300).

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

212110212200 is a wasteful number, since it uses less digits than its factorization.

212110212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942854 (or 3942845 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212110212200 its reverse (2212011212), we get a palindrome (214322223412).

The spelling of 212110212200 in words is "two hundred twelve billion, one hundred ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 5380 6725 10760 13450 26900 53800 3942569 7885138 15770276 19712845 31540552 39425690 78851380 98564225 157702760 197128450 394256900 788513800 1060551061 2121102122 4242204244 5302755305 8484408488 10605510610 21211021220 26513776525 42422042440 53027553050 106055106100 212110212200