Search a number
-
+
110310303220 = 2251323101182639
BaseRepresentation
bin110011010111100000…
…0011010010111110100
3101112201201022000100221
41212233000122113310
53301403414200340
6122401552344124
710653410051365
oct1465700322764
9345651260327
10110310303220
1142867321557
1219466845044
13a52c894590
1454a64b9b6c
152d0948e44a
hex19af01a5f4

110310303220 has 96 divisors (see below), whose sum is σ = 262896399360. Its totient is φ = 38573145600.

The previous prime is 110310303217. The next prime is 110310303223. The reversal of 110310303220 is 22303013011.

It is an interprime number because it is at equal distance from previous prime (110310303217) and next prime (110310303223).

It is a junction number, because it is equal to n+sod(n) for n = 110310303194 and 110310303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110310303223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512661 + ... + 695299.

It is an arithmetic number, because the mean of its divisors is an integer number (2738504160).

Almost surely, 2110310303220 is an apocalyptic number.

110310303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110310303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131448199680).

110310303220 is an abundant number, since it is smaller than the sum of its proper divisors (152586096140).

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

110310303220 is a wasteful number, since it uses less digits than its factorization.

110310303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182785 (or 182783 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 110310303220 its reverse (22303013011), we get a palindrome (132613316231).

The spelling of 110310303220 in words is "one hundred ten billion, three hundred ten million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 101 115 130 202 230 260 299 404 460 505 598 1010 1196 1313 1495 2020 2323 2626 2990 4646 5252 5980 6565 9292 11615 13130 23230 26260 30199 46460 60398 120796 150995 182639 301990 365278 603980 730556 913195 1826390 2374307 3652780 4200697 4748614 8401394 9497228 11871535 16802788 18446539 21003485 23743070 36893078 42006970 47486140 54609061 73786156 84013940 92232695 109218122 184465390 218436244 239805007 273045305 368930780 424270397 479610014 546090610 848540794 959220028 1092181220 1199025035 1697081588 2121351985 2398050070 4242703970 4796100140 5515515161 8485407940 11031030322 22062060644 27577575805 55155151610 110310303220