Search a number
-
+
10000210000110 = 23511291247983737
BaseRepresentation
bin1001000110000101101011…
…1101101111100011101110
31022102000021211101100211020
42101201122331233203232
52302320412230000420
633134011050035010
72051330345331441
oct221413275574356
938360254340736
1010000210000110
113206079927230
121156136118a66
13577028804445
14268026d95658
151251dd5c5340
hex9185af6f8ee

10000210000110 has 128 divisors (see below), whose sum is σ = 27087702220800. Its totient is φ = 2340481489920.

The previous prime is 10000210000087. The next prime is 10000210000117. The reversal of 10000210000110 is 1100001200001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000210000117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119382162 + ... + 119465898.

It is an arithmetic number, because the mean of its divisors is an integer number (211622673600).

Almost surely, 210000210000110 is an apocalyptic number.

10000210000110 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 10000210000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543851110400).

10000210000110 is an abundant number, since it is smaller than the sum of its proper divisors (17087492220690).

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

10000210000110 is a wasteful number, since it uses less digits than its factorization.

10000210000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96266.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000210000110 its reverse (1100001200001), we get a palindrome (11100211200111).

The spelling of 10000210000110 in words is "ten trillion, two hundred ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 12479 24958 37437 62395 74874 83737 124790 137269 167474 187185 251211 274538 361891 374370 411807 418685 502422 686345 723782 823614 837370 921107 1085673 1256055 1372690 1809455 1842214 2059035 2171346 2428373 2512110 2763321 3618910 3980801 4118070 4605535 4856746 5428365 5526642 7285119 7961602 9211070 10856730 11942403 12141865 13816605 14570238 19904005 23884806 24283730 26712103 27633210 36425595 39808010 53424206 59712015 72851190 80136309 119424030 133560515 160272618 267121030 400681545 801363090 1044954023 2089908046 3134862069 5224770115 6269724138 10449540230 11494494253 15674310345 22988988506 30303666667 31348620690 34483482759 57472471265 60607333334 68966965518 90911000001 114944942530 151518333335 172417413795 181822000002 303036666670 333340333337 344834827590 454555000005 666680666674 909110000010 1000021000011 1666701666685 2000042000022 3333403333370 5000105000055 10000210000110