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213332241141 = 32107392956383
BaseRepresentation
bin1100011010101110010…
…1111010101011110101
3202101122111020201010100
43012223211322223311
511443401023204031
6242000430144313
721261400062465
oct3065345725365
9671574221110
10213332241141
1182523541308
1235418652099
131716a499a66
14a47aa13ba5
155838b52de6
hex31ab97aaf5

213332241141 has 24 divisors (see below), whose sum is σ = 311111124480. Its totient is φ = 140853963456.

The previous prime is 213332241077. The next prime is 213332241151. The reversal of 213332241141 is 141142233312.

213332241141 is a `hidden beast` number, since 213 + 3 + 32 + 2 + 411 + 4 + 1 = 666.

It is not a de Polignac number, because 213332241141 - 26 = 213332241077 is a prime.

It is a super-2 number, since 2×2133322411412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332241151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3755436 + ... + 3811818.

It is an arithmetic number, because the mean of its divisors is an integer number (12962963520).

Almost surely, 2213332241141 is an apocalyptic number.

It is an amenable number.

213332241141 is a deficient number, since it is larger than the sum of its proper divisors (97778883339).

213332241141 is a wasteful number, since it uses less digits than its factorization.

213332241141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60425 (or 60422 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 213332241141 its reverse (141142233312), we get a palindrome (354474474453).

The spelling of 213332241141 in words is "two hundred thirteen billion, three hundred thirty-two million, two hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 9 107 321 963 3929 11787 35361 56383 169149 420403 507447 1261209 3783627 6032981 18098943 54296829 221528807 664586421 1993759263 23703582349 71110747047 213332241141