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212041412001 = 3237636760997
BaseRepresentation
bin1100010101111010100…
…1110010110110100001
3202021022112022210102200
43011132221302312201
511433230100141001
6241224355203413
721214404156306
oct3053651626641
9667275283380
10212041412001
1181a20938271
12351182a6569
1316cc2c23133
14a3973dd0ad
1557b0675086
hex315ea72da1

212041412001 has 12 divisors (see below), whose sum is σ = 314559933012. Its totient is φ = 137540375136.

The previous prime is 212041411999. The next prime is 212041412059. The reversal of 212041412001 is 100214140212.

212041412001 is a `hidden beast` number, since 212 + 0 + 41 + 412 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 206093300625 + 5948111376 = 453975^2 + 77124^2 .

It is not a de Polignac number, because 212041412001 - 21 = 212041411999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212041452001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318380166 + ... + 318380831.

It is an arithmetic number, because the mean of its divisors is an integer number (26213327751).

Almost surely, 2212041412001 is an apocalyptic number.

It is an amenable number.

212041412001 is a deficient number, since it is larger than the sum of its proper divisors (102518521011).

212041412001 is a wasteful number, since it uses less digits than its factorization.

212041412001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636761040 (or 636761037 counting only the distinct ones).

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

Adding to 212041412001 its reverse (100214140212), we get a palindrome (312255552213).

The spelling of 212041412001 in words is "two hundred twelve billion, forty-one million, four hundred twelve thousand, one".

Divisors: 1 3 9 37 111 333 636760997 1910282991 5730848973 23560156889 70680470667 212041412001