Search a number
-
+
110200003111220 = 225114732993230567
BaseRepresentation
bin11001000011100111110000…
…000010100010100100110100
3112110012000110200200112101212
4121003213300002202210310
5103421004101244024340
61030213103232340552
732132454544102301
oct3103476002424464
9473160420615355
10110200003111220
1132127616936950
12104395ba0a4758
134964a7b13c799
141d2d9cc5d20a8
15cb184d09da65
hex6439f00a2934

110200003111220 has 96 divisors (see below), whose sum is σ = 257907873484800. Its totient is φ = 39208216538240.

The previous prime is 110200003111199. The next prime is 110200003111243. The reversal of 110200003111220 is 22111300002011.

It is a junction number, because it is equal to n+sod(n) for n = 110200003111195 and 110200003111204.

It is a congruent number.

It is an unprimeable number.

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, 32496377 + ... + 35726943.

It is an arithmetic number, because the mean of its divisors is an integer number (2686540348800).

Almost surely, 2110200003111220 is an apocalyptic number.

110200003111220 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 110200003111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128953936742400).

110200003111220 is an abundant number, since it is smaller than the sum of its proper divisors (147707870373580).

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

110200003111220 is a wasteful number, since it uses less digits than its factorization.

110200003111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233933 (or 3233931 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 110200003111220 its reverse (22111300002011), we get a palindrome (132311303113231).

The spelling of 110200003111220 in words is "one hundred ten trillion, two hundred billion, three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 3299 5170 6598 10340 13196 16495 32990 36289 65980 72578 145156 155053 181445 310106 362890 620212 725780 775265 1550530 1705583 3101060 3230567 3411166 6461134 6822332 8527915 12922268 16152835 17055830 32305670 34111660 35536237 64611340 71072474 142144948 151836649 177681185 303673298 355362370 607346596 710724740 759183245 1518366490 1670203139 3036732980 3340406278 6680812556 8351015695 10657640533 16702031390 21315281066 33404062780 42630562132 53288202665 106576405330 117234045863 213152810660 234468091726 468936183452 500909105051 586170229315 1001818210102 1172340458630 2003636420204 2344680917260 2504545525255 5009091050510 5510000155561 10018182101020 11020000311122 22040000622244 27550000777805 55100001555610 110200003111220