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102001122210 = 235131496472713
BaseRepresentation
bin101111011111110111…
…1011001101110100010
3100202021122002212212010
41132333233121232202
53132344241402320
6114505250013350
710240453143021
oct1367757315642
9322248085763
10102001122210
113a292a79909
1217927b77256
13980728a820
144d18b2c8b8
1529bec6eae0
hex17bfbd9ba2

102001122210 has 128 divisors (see below), whose sum is σ = 265911206400. Its totient is φ = 24891734016.

The previous prime is 102001122193. The next prime is 102001122241. The reversal of 102001122210 is 12221100201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37595814 + ... + 37598526.

It is an arithmetic number, because the mean of its divisors is an integer number (2077431300).

Almost surely, 2102001122210 is an apocalyptic number.

102001122210 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 102001122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132955603200).

102001122210 is an abundant number, since it is smaller than the sum of its proper divisors (163910084190).

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

102001122210 is a wasteful number, since it uses less digits than its factorization.

102001122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102001122210 its reverse (12221100201), we get a palindrome (114222222411).

The spelling of 102001122210 in words is "one hundred two billion, one million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 149 195 298 390 447 647 745 894 1294 1490 1937 1941 2235 2713 3235 3874 3882 4470 5426 5811 6470 8139 8411 9685 9705 11622 13565 16278 16822 19370 19410 25233 27130 29055 35269 40695 42055 50466 58110 70538 81390 84110 96403 105807 126165 176345 192806 211614 252330 289209 352690 404237 482015 529035 578418 808474 964030 1058070 1212711 1253239 1446045 1755311 2021185 2425422 2506478 2892090 3510622 3759717 4042370 5255081 5265933 6063555 6266195 7519434 8776555 10510162 10531866 12127110 12532390 15765243 17553110 18798585 22819043 26275405 26329665 31530486 37597170 45638086 52550810 52659330 68457129 78826215 114095215 136914258 157652430 228190430 261541339 342285645 523082678 684571290 784624017 1307706695 1569248034 2615413390 3400037407 3923120085 6800074814 7846240170 10200112221 17000187035 20400224442 34000374070 51000561105 102001122210