Search a number
-
+
110101022220 = 22357833158377
BaseRepresentation
bin110011010001010001…
…0000100011000001100
3101112012010111102210210
41212202202010120030
53300441330202340
6122325115002420
710645256150610
oct1464242043014
9345163442723
10110101022220
114276a17a652
1219408739410
13a4c840aa77
14548679d340
152ce5e00180
hex19a288460c

110101022220 has 96 divisors (see below), whose sum is σ = 356568242688. Its totient is φ = 24862735872.

The previous prime is 110101022209. The next prime is 110101022221. The reversal of 110101022220 is 22220101011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110101022196 and 110101022205.

It is not an unprimeable number, because it can be changed into a prime (110101022221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544329 + ... + 1614048.

It is an arithmetic number, because the mean of its divisors is an integer number (3714252528).

Almost surely, 2110101022220 is an apocalyptic number.

110101022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101022220 is an abundant number, since it is smaller than the sum of its proper divisors (246467220468).

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

110101022220 is a wasteful number, since it uses less digits than its factorization.

110101022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158479 (or 3158477 counting only the distinct ones).

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

Adding to 110101022220 its reverse (22220101011), we get a palindrome (132321123231).

The spelling of 110101022220 in words is "one hundred ten billion, one hundred one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 34860 3158377 6316754 9475131 12633508 15791885 18950262 22108639 31583770 37900524 44217278 47375655 63167540 66325917 88434556 94751310 110543195 132651834 189502620 221086390 262145291 265303668 331629585 442172780 524290582 663259170 786435873 1048581164 1310726455 1326518340 1572871746 1835017037 2621452910 3145743492 3670034074 3932179365 5242905820 5505051111 7340068148 7864358730 9175085185 11010102222 15728717460 18350170370 22020204444 27525255555 36700340740 55050511110 110101022220