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12103010100 = 22325297138637
BaseRepresentation
bin10110100010110010…
…10100011100110100
31011020110221121122100
423101121110130310
5144241332310400
65320545302100
7605631613506
oct132131243464
934213847570
1012103010100
115150919695
122419334930
1311ab5c044c
1482b593d76
154ac81c100
hex2d1654734

12103010100 has 108 divisors (see below), whose sum is σ = 38327584204. Its totient is φ = 3194173440.

The previous prime is 12103010081. The next prime is 12103010123. The reversal of 12103010100 is 101030121.

It can be written as a sum of positive squares in 6 ways, for example, as 483032484 + 11619977616 = 21978^2 + 107796^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17982 + ... + 156618.

Almost surely, 212103010100 is an apocalyptic number.

12103010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19163792102).

12103010100 is an abundant number, since it is smaller than the sum of its proper divisors (26224574104).

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

12103010100 is a wasteful number, since it uses less digits than its factorization.

12103010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138754 (or 138744 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12103010100 its reverse (101030121), we get a palindrome (12204040221).

The spelling of 12103010100 in words is "twelve billion, one hundred three million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 97 100 150 180 194 225 291 300 388 450 485 582 873 900 970 1164 1455 1746 1940 2425 2910 3492 4365 4850 5820 7275 8730 9700 14550 17460 21825 29100 43650 87300 138637 277274 415911 554548 693185 831822 1247733 1386370 1663644 2079555 2495466 2772740 3465925 4159110 4990932 6238665 6931850 8318220 10397775 12477330 13447789 13863700 20795550 24954660 26895578 31193325 40343367 41591100 53791156 62386650 67238945 80686734 121030101 124773300 134477890 161373468 201716835 242060202 268955780 336194725 403433670 484120404 605150505 672389450 806867340 1008584175 1210301010 1344778900 2017168350 2420602020 3025752525 4034336700 6051505050 12103010100