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12144103101 = 3213211491923
BaseRepresentation
bin10110100111101100…
…00100111010111101
31011100100021100122100
423103312010322331
5144332342244401
65325014135313
7606641113254
oct132366047275
934310240570
1012144103101
115172036449
12242b051539
1311b6c7a630
14832c0d79b
154b1237b86
hex2d3d84ebd

12144103101 has 24 divisors (see below), whose sum is σ = 18980395616. Its totient is φ = 7437860640.

The previous prime is 12144103067. The next prime is 12144103141. The reversal of 12144103101 is 10130144121.

12144103101 is a `hidden beast` number, since 121 + 441 + 0 + 3 + 101 = 666.

It is not a de Polignac number, because 12144103101 - 215 = 12144070333 is a prime.

It is a super-3 number, since 3×121441031013 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144103141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221275 + ... + 270648.

Almost surely, 212144103101 is an apocalyptic number.

It is an amenable number.

12144103101 is a deficient number, since it is larger than the sum of its proper divisors (6836292515).

12144103101 is a wasteful number, since it uses less digits than its factorization.

12144103101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492153 (or 492150 counting only the distinct ones).

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

Adding to 12144103101 its reverse (10130144121), we get a palindrome (22274247222).

The spelling of 12144103101 in words is "twelve billion, one hundred forty-four million, one hundred three thousand, one hundred one".

Divisors: 1 3 9 13 39 117 211 633 1899 2743 8229 24687 491923 1475769 4427307 6394999 19184997 57554991 103795753 311387259 934161777 1349344789 4048034367 12144103101