Search a number
-
+
110822040252 = 2232711397100703
BaseRepresentation
bin110011100110110000…
…0100010001010111100
3101121001101012221121100
41213031200202022330
53303430420242002
6122524432533100
711002162541160
oct1471540421274
9347041187540
10110822040252
1142aaa175120
121958a0b1190
13a5b18c8a61
145514448ca0
152d3937511c
hex19cd8222bc

110822040252 has 144 divisors (see below), whose sum is σ = 350140557312. Its totient is φ = 28712154240.

The previous prime is 110822040247. The next prime is 110822040253. The reversal of 110822040252 is 252040228011.

110822040252 is a `hidden beast` number, since 110 + 82 + 20 + 402 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110822040253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050133 + ... + 1150835.

It is an arithmetic number, because the mean of its divisors is an integer number (2431531648).

Almost surely, 2110822040252 is an apocalyptic number.

110822040252 is a gapful number since it is divisible by the number (12) 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 110822040252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175070278656).

110822040252 is an abundant number, since it is smaller than the sum of its proper divisors (239318517060).

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

110822040252 is a wasteful number, since it uses less digits than its factorization.

110822040252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101128 (or 101123 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 110822040252 its reverse (252040228011), we get a palindrome (362862268263).

The spelling of 110822040252 in words is "one hundred ten billion, eight hundred twenty-two million, forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 397 462 693 794 924 1191 1386 1588 2382 2772 2779 3573 4367 4764 5558 7146 8337 8734 11116 13101 14292 16674 17468 25011 26202 30569 33348 39303 50022 52404 61138 78606 91707 100044 100703 122276 157212 183414 201406 275121 302109 366828 402812 550242 604218 704921 906327 1100484 1107733 1208436 1409842 1812654 2114763 2215466 2819684 3323199 3625308 4229526 4430932 6344289 6646398 7754131 8459052 9969597 12688578 13292796 15508262 19939194 23262393 25377156 31016524 39878388 39979091 46524786 69787179 79958182 93049572 119937273 139574358 159916364 239874546 279148716 279853637 359811819 439770001 479749092 559707274 719623638 839560911 879540002 1119414548 1319310003 1439247276 1679121822 1759080004 2518682733 2638620006 3078390007 3358243644 3957930009 5037365466 5277240012 6156780014 7915860018 9235170021 10074730932 12313560028 15831720036 18470340042 27705510063 36940680084 55411020126 110822040252