Search a number
-
+
1020220110 = 234571313841
BaseRepresentation
bin111100110011110…
…101001011001110
32122002201112220000
4330303311023032
54042134020420
6245122505130
734165504440
oct7463651316
92562645800
101020220110
11483984518
122458051a6
13133499850
14996d2490
155e877690
hex3ccf52ce

1020220110 has 160 divisors (see below), whose sum is σ = 3376562112. Its totient is φ = 215239680.

The previous prime is 1020220109. The next prime is 1020220111. The reversal of 1020220110 is 110220201.

It is an interprime number because it is at equal distance from previous prime (1020220109) and next prime (1020220111).

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 = 1020220092 and 1020220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020220111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66790 + ... + 80630.

Almost surely, 21020220110 is an apocalyptic number.

1020220110 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 1020220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688281056).

1020220110 is an abundant number, since it is smaller than the sum of its proper divisors (2356342002).

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

1020220110 is a wasteful number, since it uses less digits than its factorization.

1020220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13880 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020220110 is about 31940.8846151762. The cubic root of 1020220110 is about 1006.6951121055.

Adding to 1020220110 its reverse (110220201), we get a palindrome (1130440311).

Subtracting from 1020220110 its reverse (110220201), we obtain a palindrome (909999909).

The spelling of 1020220110 in words is "one billion, twenty million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1134 1170 1365 1638 1755 1890 2106 2457 2730 2835 3510 4095 4914 5265 5670 7371 8190 10530 12285 13841 14742 24570 27682 36855 41523 69205 73710 83046 96887 124569 138410 179933 193774 207615 249138 290661 359866 373707 415230 484435 539799 581322 622845 747414 871983 899665 968870 1079598 1121121 1245690 1259531 1453305 1619397 1743966 1799330 1868535 2242242 2519062 2615949 2698995 2906610 3238794 3737070 3778593 4359915 4858191 5231898 5397990 5605605 6297655 7557186 7847847 8096985 8719830 9716382 11211210 11335779 12595310 13079745 14574573 15695694 16193970 18892965 22671558 24290955 26159490 29149146 34007337 37785930 39239235 48581910 56678895 68014674 72872865 78478470 102022011 113357790 145745730 170036685 204044022 340073370 510110055 1020220110