Search a number
-
+
110422320200 = 23521783391291
BaseRepresentation
bin110011011010110101…
…1101110010001001000
3101120000112002001202222
41212311223232101020
53302121103221300
6122421033313212
710656240143453
oct1466553562110
9346015061688
10110422320200
1142914580575
1219498265808
13a549b54a0a
1454b731849a
152d14219785
hex19b5aee448

110422320200 has 96 divisors (see below), whose sum is σ = 275109579360. Its totient is φ = 41069798400.

The previous prime is 110422320187. The next prime is 110422320209. The reversal of 110422320200 is 2023224011.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (110422320209) 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 23 ways as a sum of consecutive naturals, for example, 86555 + ... + 477845.

It is an arithmetic number, because the mean of its divisors is an integer number (2865724785).

Almost surely, 2110422320200 is an apocalyptic number.

110422320200 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 110422320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137554789680).

110422320200 is an abundant number, since it is smaller than the sum of its proper divisors (164687259160).

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

110422320200 is a wasteful number, since it uses less digits than its factorization.

110422320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391407 (or 391398 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 110422320200 its reverse (2023224011), we get a palindrome (112445544211).

The spelling of 110422320200 in words is "one hundred ten billion, four hundred twenty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 83 85 100 136 166 170 200 332 340 415 425 664 680 830 850 1411 1660 1700 2075 2822 3320 3400 4150 5644 7055 8300 11288 14110 16600 28220 35275 56440 70550 141100 282200 391291 782582 1565164 1956455 3130328 3912910 6651947 7825820 9782275 13303894 15651640 19564550 26607788 32477153 33259735 39129100 53215576 64954306 66519470 78258200 129908612 133038940 162385765 166298675 259817224 266077880 324771530 332597350 552111601 649543060 665194700 811928825 1104223202 1299086120 1330389400 1623857650 2208446404 2760558005 3247715300 4416892808 5521116010 6495430600 11042232020 13802790025 22084464040 27605580050 55211160100 110422320200