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212402424401334 = 232176362411090979
BaseRepresentation
bin110000010010110111001011…
…000011100100110110110110
31000212001110210011012212202200
4300102313023003210312312
5210320000131121320314
62031424154323045330
762511366040314516
oct6022671303446666
91025043704185680
10212402424401334
11617503a9289112
121b9a501a210846
13916960266a2ab
143a64491777846
15198511b64e709
hexc12dcb0e4db6

212402424401334 has 48 divisors (see below), whose sum is σ = 487277362606320. Its totient is φ = 66635888901120.

The previous prime is 212402424401261. The next prime is 212402424401341. The reversal of 212402424401334 is 433104424204212.

212402424401334 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 242 + 4 + 401 + 3 + 3 + 4 = 666.

212402424401334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124024244013342 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194144257 + ... + 195235235.

It is an arithmetic number, because the mean of its divisors is an integer number (10151611720965).

Almost surely, 2212402424401334 is an apocalyptic number.

212402424401334 is an abundant number, since it is smaller than the sum of its proper divisors (274874938204986).

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

212402424401334 is a wasteful number, since it uses less digits than its factorization.

212402424401334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727245 (or 1727242 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 212402424401334 its reverse (433104424204212), we get a palindrome (645506848605546).

The spelling of 212402424401334 in words is "two hundred twelve trillion, four hundred two billion, four hundred twenty-four million, four hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 636241 1090979 1272482 1908723 2181958 3272937 3817446 5726169 6545874 9818811 10816097 11452338 18546643 19637622 21632194 32448291 37093286 55639929 64896582 97344873 111279858 166919787 194689746 333839574 694125569939 1388251139878 2082376709817 4164753419634 6247130129451 11800134688963 12494260258902 23600269377926 35400404066889 70800808133778 106201212200667 212402424401334