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201312012141 = 3237604540577
BaseRepresentation
bin1011101101111100100…
…0011000011101101101
3201020121210001210210200
42323133020120131231
511244241333342031
6232251555024113
720354461604202
oct2733710303555
9636553053720
10201312012141
1178415423359
1233022b9b039
1315ca30a1816
149a5a44bca9
1553837388e6
hex2edf21876d

201312012141 has 12 divisors (see below), whose sum is σ = 298643045532. Its totient is φ = 130580764416.

The previous prime is 201312012113. The next prime is 201312012203. The reversal of 201312012141 is 141210213102.

201312012141 is a `hidden beast` number, since 201 + 312 + 0 + 12 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113249075625 + 88062936516 = 336525^2 + 296754^2 .

It is not a de Polignac number, because 201312012141 - 230 = 200238270317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201312012541) 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, 302269956 + ... + 302270621.

It is an arithmetic number, because the mean of its divisors is an integer number (24886920461).

Almost surely, 2201312012141 is an apocalyptic number.

It is an amenable number.

201312012141 is a deficient number, since it is larger than the sum of its proper divisors (97331033391).

201312012141 is a wasteful number, since it uses less digits than its factorization.

201312012141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604540620 (or 604540617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201312012141 its reverse (141210213102), we get a palindrome (342522225243).

The spelling of 201312012141 in words is "two hundred one billion, three hundred twelve million, twelve thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 604540577 1813621731 5440865193 22368001349 67104004047 201312012141