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212135031241 = 7472233538191
BaseRepresentation
bin1100010110010000111…
…0111011000111001001
3202021120001111010212221
43011210032323013021
511433423031444431
6241241541534041
721216622004560
oct3054416730711
9667501433787
10212135031241
1181a69770841
1235143714321
1317009441533
14a3a5a0cbd7
1557b89b9111
hex31643bb1c9

212135031241 has 32 divisors (see below), whose sum is σ = 249443647488. Its totient is φ = 176639823360.

The previous prime is 212135031137. The next prime is 212135031257. The reversal of 212135031241 is 142130531212.

212135031241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212135031241 - 27 = 212135031113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212135031271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25894456 + ... + 25902646.

It is an arithmetic number, because the mean of its divisors is an integer number (7795113984).

Almost surely, 2212135031241 is an apocalyptic number.

It is an amenable number.

212135031241 is a deficient number, since it is larger than the sum of its proper divisors (37308616247).

212135031241 is a wasteful number, since it uses less digits than its factorization.

212135031241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 212135031241 its reverse (142130531212), we get a palindrome (354265562453).

The spelling of 212135031241 in words is "two hundred twelve billion, one hundred thirty-five million, thirty-one thousand, two hundred forty-one".

Divisors: 1 7 47 223 329 353 1561 2471 8191 10481 16591 57337 73367 78719 116137 384977 551033 1826593 2694839 2891423 3699793 12786151 20239961 25898551 85849871 135896881 600949097 644787329 951278167 4513511303 30305004463 212135031241