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212011101220 = 225337203915427
BaseRepresentation
bin1100010101110011011…
…0001010110000100100
3202021020102021211212011
43011130312022300210
511433144320214340
6241221353404004
721213555424552
oct3053466126044
9667212254764
10212011101220
1181a05815336
123510a109604
1316cb986c869
14a39338cbd2
1557acb890ea
hex315cd8ac24

212011101220 has 48 divisors (see below), whose sum is σ = 446792411520. Its totient is φ = 84505849344.

The previous prime is 212011101217. The next prime is 212011101223. The reversal of 212011101220 is 22101110212.

It is an interprime number because it is at equal distance from previous prime (212011101217) and next prime (212011101223).

It is a self number, because there is not a number n which added to its sum of digits gives 212011101220.

It is not an unprimeable number, because it can be changed into a prime (212011101223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13735147 + ... + 13750573.

It is an arithmetic number, because the mean of its divisors is an integer number (9308175240).

Almost surely, 2212011101220 is an apocalyptic number.

212011101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011101220 is an abundant number, since it is smaller than the sum of its proper divisors (234781310300).

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

212011101220 is a wasteful number, since it uses less digits than its factorization.

212011101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17812 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212011101220 its reverse (22101110212), we get a palindrome (234112211432).

The spelling of 212011101220 in words is "two hundred twelve billion, eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 2039 3370 4078 6740 8156 10195 15427 20390 30854 40780 61708 77135 154270 308540 687143 1374286 2748572 3435715 5198899 6871430 10397798 13742860 20795596 25994495 31455653 51988990 62911306 103977980 125822612 157278265 314556530 629113060 10600555061 21201110122 42402220244 53002775305 106005550610 212011101220