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12103659900 = 223652166031
BaseRepresentation
bin10110100010110111…
…10011000101111100
31011020112011122000000
423101123303011330
5144242014104100
65321011234300
7605640261123
oct132133630574
934215148000
1012103659900
115151222912
1224195a8990
1311ab78a147
1482b6c2aba
154ac8e9900
hex2d16f317c

12103659900 has 126 divisors (see below), whose sum is σ = 39379635792. Its totient is φ = 3227623200.

The previous prime is 12103659839. The next prime is 12103659901. The reversal of 12103659900 is 995630121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103659901) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 10116 + ... + 155915.

It is an arithmetic number, because the mean of its divisors is an integer number (312536792).

Almost surely, 212103659900 is an apocalyptic number.

12103659900 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 12103659900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689817896).

12103659900 is an abundant number, since it is smaller than the sum of its proper divisors (27275975892).

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

12103659900 is a wasteful number, since it uses less digits than its factorization.

12103659900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166063 (or 166041 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 12103659900 in words is "twelve billion, one hundred three million, six hundred fifty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2430 2700 2916 3645 4050 4860 6075 7290 8100 12150 14580 18225 24300 36450 72900 166031 332062 498093 664124 830155 996186 1494279 1660310 1992372 2490465 2988558 3320620 4150775 4482837 4980930 5977116 7471395 8301550 8965674 9961860 12452325 13448511 14942790 16603100 17931348 22414185 24904650 26897022 29885580 37356975 40345533 44828370 49809300 53794044 67242555 74713950 80691066 89656740 112070925 121036599 134485110 149427900 161382132 201727665 224141850 242073198 268970220 336212775 403455330 448283700 484146396 605182995 672425550 806910660 1008638325 1210365990 1344851100 2017276650 2420731980 3025914975 4034553300 6051829950 12103659900