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12103101210 = 23517433171741
BaseRepresentation
bin10110100010110011…
…01010101100011010
31011020111010020121210
423101121222230122
5144241343214320
65320551243550
7605632443234
oct132131525432
934214106553
1012103101210
115150981092
1224193795b6
1311ab622a65
1482b5b9254
154ac8390e0
hex2d166ab1a

12103101210 has 128 divisors (see below), whose sum is σ = 31588786944. Its totient is φ = 2955939840.

The previous prime is 12103101209. The next prime is 12103101221. The reversal of 12103101210 is 1210130121.

12103101210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6950940 + ... + 6952680.

It is an arithmetic number, because the mean of its divisors is an integer number (246787398).

Almost surely, 212103101210 is an apocalyptic number.

12103101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794393472).

12103101210 is an abundant number, since it is smaller than the sum of its proper divisors (19485685734).

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

12103101210 is a wasteful number, since it uses less digits than its factorization.

12103101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12103101210 its reverse (1210130121), we get a palindrome (13313231331).

The spelling of 12103101210 in words is "twelve billion, one hundred three million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 317 430 510 634 645 731 951 1290 1462 1585 1741 1902 2193 3170 3482 3655 4386 4755 5223 5389 7310 8705 9510 10446 10778 10965 13631 16167 17410 21930 26115 26945 27262 29597 32334 40893 52230 53890 59194 68155 74863 80835 81786 88791 136310 147985 149726 161670 177582 204465 224589 231727 295970 374315 408930 443955 449178 463454 551897 695181 748630 887910 1103794 1122945 1158635 1272671 1390362 1655691 2245890 2317270 2545342 2759485 3311382 3475905 3818013 5518970 6363355 6951810 7636026 8278455 9382249 12726710 16556910 18764498 19090065 23731571 28146747 38180130 46911245 47463142 56293494 71194713 93822490 118657855 140733735 142389426 237315710 281467470 355973565 403436707 711947130 806873414 1210310121 2017183535 2420620242 4034367070 6051550605 12103101210