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212102100020 = 22510605105001
BaseRepresentation
bin1100010110001001000…
…1010011010000110100
3202021110202112001202002
43011202101103100310
511433341114200040
6241234404034432
721216042050306
oct3054221232064
9667422461662
10212102100020
1181a52119058
1235134692a18
13170026812c5
14a3a14b9976
1557b5b61a15
hex3162453434

212102100020 has 12 divisors (see below), whose sum is σ = 445414410084. Its totient is φ = 84840840000.

The previous prime is 212102100017. The next prime is 212102100047. The reversal of 212102100020 is 20001201212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97021036324 + 115081063696 = 311482^2 + 339236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212102099974 and 212102100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5302552481 + ... + 5302552520.

It is an arithmetic number, because the mean of its divisors is an integer number (37117867507).

Almost surely, 2212102100020 is an apocalyptic number.

212102100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102100020 is an abundant number, since it is smaller than the sum of its proper divisors (233312310064).

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

212102100020 is a wasteful number, since it uses less digits than its factorization.

212102100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605105010 (or 10605105008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212102100020 its reverse (20001201212), we get a palindrome (232103301232).

The spelling of 212102100020 in words is "two hundred twelve billion, one hundred two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 10605105001 21210210002 42420420004 53025525005 106051050010 212102100020