Search a number
-
+
210331120110 = 2351716323310859
BaseRepresentation
bin1100001111100010110…
…1100011000111101110
3202002220100002222000120
43003320231203013232
511421224231320420
6240342541505410
721124126010466
oct3037055430756
9662810088016
10210331120110
11812234856a1
123491b572266
1316aac7b21b7
14a2741d8ba6
15571043bd40
hex30f8b631ee

210331120110 has 128 divisors (see below), whose sum is σ = 540125314560. Its totient is φ = 52235145216.

The previous prime is 210331120099. The next prime is 210331120169. The reversal of 210331120110 is 11021133012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 210331120110.

It is a congruent number.

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, 19363861 + ... + 19374719.

It is an arithmetic number, because the mean of its divisors is an integer number (4219729020).

Almost surely, 2210331120110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210331120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270062657280).

210331120110 is an abundant number, since it is smaller than the sum of its proper divisors (329794194450).

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

210331120110 is a wasteful number, since it uses less digits than its factorization.

210331120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 210331120110 its reverse (11021133012), we get a palindrome (221352253122).

The spelling of 210331120110 in words is "two hundred ten billion, three hundred thirty-one million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 163 170 233 255 326 466 489 510 699 815 978 1165 1398 1630 2330 2445 2771 3495 3961 4890 5542 6990 7922 8313 10859 11883 13855 16626 19805 21718 23766 27710 32577 37979 39610 41565 54295 59415 65154 75958 83130 108590 113937 118830 162885 184603 189895 227874 325770 369206 379790 553809 569685 645643 923015 1107618 1139370 1291286 1770017 1846030 1936929 2530147 2769045 3228215 3540034 3873858 5060294 5310051 5538090 6456430 7590441 8850085 9684645 10620102 12650735 15180882 17700170 19369290 25301470 26550255 30090289 37952205 43012499 53100510 60180578 75904410 86024998 90270867 129037497 150451445 180541734 215062495 258074994 300902890 412413961 430124990 451354335 645187485 824827922 902708670 1237241883 1290374970 2062069805 2474483766 4124139610 6186209415 7011037337 12372418830 14022074674 21033112011 35055186685 42066224022 70110373370 105165560055 210331120110