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212313201144120 = 23325589758892067
BaseRepresentation
bin110000010001100100000100…
…111011110111000100111000
31000211201221111000220210102200
4300101210010323313010320
5210312014413443102440
62031315201011030200
762502060022201266
oct6021440473670470
91024657430823380
10212313201144120
116171658306340a
121b98b87959b360
13916108374703b
143a60029aad436
151982b485a3c30
hexc11904ef7138

212313201144120 has 48 divisors (see below), whose sum is σ = 690017903719560. Its totient is φ = 56616853638336.

The previous prime is 212313201144113. The next prime is 212313201144137. The reversal of 212313201144120 is 21441102313212.

212313201144120 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 13 + 201 + 1 + 441 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294879445674 + ... + 294879446393.

Almost surely, 2212313201144120 is an apocalyptic number.

212313201144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212313201144120 is an abundant number, since it is smaller than the sum of its proper divisors (477704702575440).

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

212313201144120 is a wasteful number, since it uses less digits than its factorization.

212313201144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589758892084 (or 589758892077 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 212313201144120 its reverse (21441102313212), we get a palindrome (233754303457332).

The spelling of 212313201144120 in words is "two hundred twelve trillion, three hundred thirteen billion, two hundred one million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 589758892067 1179517784134 1769276676201 2359035568268 2948794460335 3538553352402 4718071136536 5307830028603 5897588920670 7077106704804 8846383381005 10615660057206 11795177841340 14154213409608 17692766762010 21231320114412 23590355682680 26539150143015 35385533524020 42462640228824 53078300286030 70771067048040 106156600572060 212313201144120