Search a number
-
+
1022001220110 = 2351317529729101
BaseRepresentation
bin11101101111101000000…
…01010000101000001110
310121200222000121012122010
432313310001100220032
5113221024303020420
62101300105002050
7133560100015623
oct16676401205016
93550860535563
101022001220110
11364479055232
121460a2183326
13754b3456c90
143767242434a
151b8b80364e0
hexedf4050a0e

1022001220110 has 128 divisors (see below), whose sum is σ = 2797485393024. Its totient is φ = 236718489600.

The previous prime is 1022001220087. The next prime is 1022001220133. The reversal of 1022001220110 is 110221002201.

It is an interprime number because it is at equal distance from previous prime (1022001220087) and next prime (1022001220133).

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, 35104560 + ... + 35133660.

It is an arithmetic number, because the mean of its divisors is an integer number (21855354633).

Almost surely, 21022001220110 is an apocalyptic number.

1022001220110 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 1022001220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398742696512).

1022001220110 is an abundant number, since it is smaller than the sum of its proper divisors (1775484172914).

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

1022001220110 is a wasteful number, since it uses less digits than its factorization.

1022001220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34438.

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

Adding to 1022001220110 its reverse (110221002201), we get a palindrome (1132222222311).

The spelling of 1022001220110 in words is "one trillion, twenty-two billion, one million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 5297 6630 10594 15891 26485 29101 31782 52970 58202 68861 79455 87303 90049 137722 145505 158910 174606 180098 206583 270147 291010 344305 378313 413166 436515 450245 494717 540294 688610 756626 873030 900490 989434 1032915 1134939 1170637 1350735 1484151 1891565 2065830 2269878 2341274 2473585 2701470 2968302 3511911 3783130 4947170 5674695 5853185 6431321 7023822 7420755 11349390 11706370 12862642 14841510 17559555 19293963 32156605 35119110 38587926 64313210 96469815 154147997 192939630 308295994 462443991 770739985 924887982 1541479970 2003923961 2312219955 2620515949 4007847922 4624439910 5241031898 6011771883 7861547847 10019619805 12023543766 13102579745 15723095694 20039239610 26205159490 30058859415 34066707337 39307739235 60117718830 68133414674 78615478470 102200122011 170333536685 204400244022 340667073370 511000610055 1022001220110