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212212140100 = 225217837118973
BaseRepresentation
bin1100010110100011010…
…1000100100001000100
3202021202102120200100121
43011220311010201010
511434102301440400
6241253334351324
721221546300002
oct3055065044104
9667672520317
10212212140100
1181aa9247874
12351654bb544
131701c3cb98c
14a3b1d61a72
1557c064b21a
hex3168d44844

212212140100 has 36 divisors (see below), whose sum is σ = 460530032004. Its totient is φ = 84879383680.

The previous prime is 212212140097. The next prime is 212212140109. The reversal of 212212140100 is 1041212212.

It can be written as a sum of positive squares in 6 ways, for example, as 2477451076 + 209734689024 = 49774^2 + 457968^2 .

It is not an unprimeable number, because it can be changed into a prime (212212140109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1724214 + ... + 1843186.

It is an arithmetic number, because the mean of its divisors is an integer number (12792500889).

Almost surely, 2212212140100 is an apocalyptic number.

212212140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212140100 is an abundant number, since it is smaller than the sum of its proper divisors (248317891904).

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

212212140100 is a wasteful number, since it uses less digits than its factorization.

212212140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136824 (or 136817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212212140100 its reverse (1041212212), we get a palindrome (213253352312).

The spelling of 212212140100 in words is "two hundred twelve billion, two hundred twelve million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17837 35674 71348 89185 118973 178370 237946 356740 445925 475892 594865 891850 1189730 1783700 2379460 2974325 5948650 11897300 2122121401 4244242802 8488485604 10610607005 21221214010 42442428020 53053035025 106106070050 212212140100