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12144103100 = 2252163745037
BaseRepresentation
bin10110100111101100…
…00100111010111100
31011100100021100122022
423103312010322330
5144332342244400
65325014135312
7606641113253
oct132366047274
934310240568
1012144103100
115172036448
12242b051538
1311b6c7a62c
14832c0d79a
154b1237b85
hex2d3d84ebc

12144103100 has 36 divisors (see below), whose sum is σ = 26514412344. Its totient is φ = 4827833280.

The previous prime is 12144103067. The next prime is 12144103141. The reversal of 12144103100 is 130144121.

It is a happy number.

It is a super-2 number, since 2×121441031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356219 + ... + 388818.

It is an arithmetic number, because the mean of its divisors is an integer number (736511454).

Almost surely, 212144103100 is an apocalyptic number.

12144103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144103100 is an abundant number, since it is smaller than the sum of its proper divisors (14370309244).

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

12144103100 is a wasteful number, since it uses less digits than its factorization.

12144103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745214 (or 745207 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12144103100 its reverse (130144121), we get a palindrome (12274247221).

The spelling of 12144103100 in words is "twelve billion, one hundred forty-four million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 8150 16300 745037 1490074 2980148 3725185 7450370 14900740 18625925 37251850 74503700 121441031 242882062 485764124 607205155 1214410310 2428820620 3036025775 6072051550 12144103100