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212101412420 = 22523461090027
BaseRepresentation
bin1100010110001000111…
…0101011011001000100
3202021110201020010112102
43011202032223121010
511433340430144140
6241234341211232
721216033154532
oct3054216533104
9667421203472
10212101412420
1181a51799497
1235134400b18
13170024a0341
14a3a137b152
1557b5a77e15
hex31623ab644

212101412420 has 24 divisors (see below), whose sum is σ = 464778748224. Its totient is φ = 81151844576.

The previous prime is 212101412401. The next prime is 212101412431. The reversal of 212101412420 is 24214101212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212101412392 and 212101412401.

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 7 ways as a sum of consecutive naturals, for example, 230544554 + ... + 230545473.

It is an arithmetic number, because the mean of its divisors is an integer number (19365781176).

Almost surely, 2212101412420 is an apocalyptic number.

212101412420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101412420 is an abundant number, since it is smaller than the sum of its proper divisors (252677335804).

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

212101412420 is a wasteful number, since it uses less digits than its factorization.

212101412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461090059 (or 461090057 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212101412420 its reverse (24214101212), we get a palindrome (236315513632).

The spelling of 212101412420 in words is "two hundred twelve billion, one hundred one million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 461090027 922180054 1844360108 2305450135 4610900270 9221800540 10605070621 21210141242 42420282484 53025353105 106050706210 212101412420