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212241242142212 = 22241300173364633
BaseRepresentation
bin110000010000100001000011…
…110110000011011000000100
31000211111001202002100202010212
4300100201003312003120010
5210304330030442022322
62031222140335534552
762463631556602643
oct6020410366033004
91024431662322125
10212241242142212
11616990070871a8
121b97993668a458
1391573564ab27a
143a5a760c3135a
151980d35ecd0e2
hexc10843d83604

212241242142212 has 24 divisors (see below), whose sum is σ = 373087629367992. Its totient is φ = 105645070080000.

The previous prime is 212241242142179. The next prime is 212241242142253.

212241242142212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 61832210315716 + 150409031826496 = 7863346^2 + 12264136^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33789353 + ... + 39575280.

It is an arithmetic number, because the mean of its divisors is an integer number (15545317890333).

Almost surely, 2212241242142212 is an apocalyptic number.

It is an amenable number.

212241242142212 is a deficient number, since it is larger than the sum of its proper divisors (160846387225780).

212241242142212 is a wasteful number, since it uses less digits than its factorization.

212241242142212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73367879 (or 73367877 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The spelling of 212241242142212 in words is "two hundred twelve trillion, two hundred forty-one billion, two hundred forty-two million, one hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 4 241 482 964 3001 6002 12004 723241 1446482 2892964 73364633 146729266 293458532 17680876553 35361753106 70723506212 220167263633 440334527266 880669054532 53060310535553 106120621071106 212241242142212