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212013320022 = 23371715121447
BaseRepresentation
bin1100010101110011111…
…0101000011101010110
3202021020120110120111000
43011130332220131112
511433200402220042
6241221513124130
721213613325430
oct3053476503526
9667216416430
10212013320022
1181a06aa0359
123510a9b9646
1316cba16876a
14a3937a9650
1557ace7674c
hex315cfa8756

212013320022 has 192 divisors, whose sum is σ = 574317112320. Its totient is φ = 56595283200.

The previous prime is 212013319997. The next prime is 212013320053. The reversal of 212013320022 is 220023310212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212013319977 and 212013320004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146518503 + ... + 146519949.

It is an arithmetic number, because the mean of its divisors is an integer number (2991234960).

Almost surely, 2212013320022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212013320022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287158556160).

212013320022 is an abundant number, since it is smaller than the sum of its proper divisors (362303792298).

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

212013320022 is a wasteful number, since it uses less digits than its factorization.

212013320022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212013320022 its reverse (220023310212), we get a palindrome (432036630234).

The spelling of 212013320022 in words is "two hundred twelve billion, thirteen million, three hundred twenty thousand, twenty-two".