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212122100020 = 22522946314869
BaseRepresentation
bin1100010110001101110…
…1100110000100110100
3202021112011011011120211
43011203131212010310
511433411224200040
6241240400435204
721216404046325
oct3054335460464
9667464134524
10212122100020
1181a62439386
123513b318b04
131700686471c
14a3a400444c
1557b77b28ea
hex3163766134

212122100020 has 24 divisors (see below), whose sum is σ = 447401644200. Its totient is φ = 84478319232.

The previous prime is 212122099963. The next prime is 212122100039. The reversal of 212122100020 is 20001221212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62201357604 + 149920742416 = 249402^2 + 387196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23152855 + ... + 23162014.

It is an arithmetic number, because the mean of its divisors is an integer number (18641735175).

Almost surely, 2212122100020 is an apocalyptic number.

212122100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122100020 is an abundant number, since it is smaller than the sum of its proper divisors (235279544180).

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

212122100020 is a wasteful number, since it uses less digits than its factorization.

212122100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46315107 (or 46315105 counting only the distinct ones).

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

Adding to 212122100020 its reverse (20001221212), we get a palindrome (232123321232).

The spelling of 212122100020 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 46314869 92629738 185259476 231574345 463148690 926297380 10606105001 21212210002 42424420004 53030525005 106061050010 212122100020