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212012112042 = 2341812172221
BaseRepresentation
bin1100010101110011101…
…0000001100010101010
3202021020111012012110000
43011130322001202222
511433200100041132
6241221431203430
721213600134553
oct3053472014252
9667214165400
10212012112042
1181a06345825
123510a516576
1316cb9b34993
14a39357332a
1557accd887c
hex315ce818aa

212012112042 has 40 divisors (see below), whose sum is σ = 475096971492. Its totient is φ = 70665825600.

The previous prime is 212012112031. The next prime is 212012112077. The reversal of 212012112042 is 240211210212.

It can be written as a sum of positive squares in 2 ways, for example, as 201133413441 + 10878698601 = 448479^2 + 104301^2 .

It is a super-2 number, since 2×2120121120422 (a number of 23 digits) contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 2899492 + ... + 2971712.

Almost surely, 2212012112042 is an apocalyptic number.

212012112042 is an abundant number, since it is smaller than the sum of its proper divisors (263084859450).

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

212012112042 is a wasteful number, since it uses less digits than its factorization.

212012112042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90356 (or 90347 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212012112042 its reverse (240211210212), we get a palindrome (452223322254).

The spelling of 212012112042 in words is "two hundred twelve billion, twelve million, one hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 18121 36242 54363 72221 108726 144442 163089 216663 326178 433326 489267 649989 978534 1299978 1467801 1949967 2935602 3899934 5849901 11699802 1308716741 2617433482 3926150223 7852300446 11778450669 23556901338 35335352007 70670704014 106006056021 212012112042