Search a number
-
+
121110110010 = 23352937794093
BaseRepresentation
bin111000011001010111…
…0011001111100111010
3102120121101001001011000
41300302232121330322
53441013142010020
6131345345545430
711515135643511
oct1606256317472
9376541031130
10121110110010
11473a955520a
121b57b645276
13b5611979b6
145c0c957678
15323c687090
hex1c32b99f3a

121110110010 has 128 divisors (see below), whose sum is σ = 334266912000. Its totient is φ = 31166505216.

The previous prime is 121110110003. The next prime is 121110110021. The reversal of 121110110010 is 10011011121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121110109974 and 121110110001.

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, 29587524 + ... + 29591616.

It is an arithmetic number, because the mean of its divisors is an integer number (2611460250).

Almost surely, 2121110110010 is an apocalyptic number.

121110110010 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 121110110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167133456000).

121110110010 is an abundant number, since it is smaller than the sum of its proper divisors (213156801990).

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

121110110010 is a wasteful number, since it uses less digits than its factorization.

121110110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 121110110010 its reverse (10011011121), we get a palindrome (131121121131).

The spelling of 121110110010 in words is "one hundred twenty-one billion, one hundred ten million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3779 3915 4093 7558 7830 8186 11337 12279 18895 20465 22674 24558 34011 36837 37790 40930 56685 61395 68022 73674 102033 109591 110511 113370 118697 122790 170055 184185 204066 219182 221022 237394 328773 340110 356091 368370 510165 547955 552555 593485 657546 712182 986319 1020330 1068273 1095910 1105110 1186970 1643865 1780455 1972638 2136546 2958957 3204819 3287730 3560910 4931595 5341365 5917914 6409638 9863190 10682730 14794785 15467447 16024095 29589570 30934894 32048190 46402341 77337235 92804682 139207023 154674470 232011705 278414046 417621069 448555963 464023410 696035115 835242138 897111926 1345667889 1392070230 2088105345 2242779815 2691335778 4037003667 4176210690 4485559630 6728339445 8074007334 12111011001 13456678890 20185018335 24222022002 40370036670 60555055005 121110110010