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212011111220 = 22545389233549
BaseRepresentation
bin1100010101110011011…
…0001101001100110100
3202021020102022100120112
43011130312031030310
511433144321024340
6241221353522152
721213555465656
oct3053466151464
9667212270515
10212011111220
1181a058218a7
123510a113358
1316cb987428c
14a3933926d6
1557acb8c065
hex315cd8d334

212011111220 has 24 divisors (see below), whose sum is σ = 445235049000. Its totient is φ = 84802212992.

The previous prime is 212011111211. The next prime is 212011111243. The reversal of 212011111220 is 22111110212.

212011111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 100398992164 + 111612119056 = 316858^2 + 334084^2 .

It is a super-2 number, since 2×2120111112202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011111195 and 212011111204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791006 + ... + 1024554.

It is an arithmetic number, because the mean of its divisors is an integer number (18551460375).

Almost surely, 2212011111220 is an apocalyptic number.

212011111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011111220 is an abundant number, since it is smaller than the sum of its proper divisors (233223937780).

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

212011111220 is a wasteful number, since it uses less digits than its factorization.

212011111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278947 (or 278945 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011111220 its reverse (22111110212), we get a palindrome (234122221432).

The spelling of 212011111220 in words is "two hundred twelve billion, eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 45389 90778 181556 226945 233549 453890 467098 907780 934196 1167745 2335490 4670980 10600555561 21201111122 42402222244 53002777805 106005555610 212011111220