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12144101310 = 2335114088923
BaseRepresentation
bin10110100111101100…
…00100011110111110
31011100100021021012000
423103312010132332
5144332342220220
65325014123130
7606641105115
oct132366043676
934310237160
1012144101310
115172035070
12242b0504a6
1311b6c79883
14832c0cc7c
154b1237390
hex2d3d847be

12144101310 has 64 divisors (see below), whose sum is σ = 35328303360. Its totient is φ = 2944023840.

The previous prime is 12144101309. The next prime is 12144101329. The reversal of 12144101310 is 1310144121.

12144101310 is a `hidden beast` number, since 121 + 4 + 410 + 131 + 0 = 666.

It is a super-2 number, since 2×121441013102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2041492 + ... + 2047431.

It is an arithmetic number, because the mean of its divisors is an integer number (552004740).

Almost surely, 212144101310 is an apocalyptic number.

12144101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12144101310 is an abundant number, since it is smaller than the sum of its proper divisors (23184202050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12144101310 is a wasteful number, since it uses less digits than its factorization.

12144101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088950 (or 4088944 counting only the distinct ones).

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

Adding to 12144101310 its reverse (1310144121), we get a palindrome (13454245431).

The spelling of 12144101310 in words is "twelve billion, one hundred forty-four million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4088923 8177846 12266769 20444615 24533538 36800307 40889230 44978153 61333845 73600614 89956306 110400921 122667690 134934459 184001535 220801842 224890765 269868918 368003070 404803377 449781530 552004605 674672295 809606754 1104009210 1214410131 1349344590 2024016885 2428820262 4048033770 6072050655 12144101310