Search a number
-
+
2320110100 = 2252711595107
BaseRepresentation
bin1000101001001010…
…0001001000010100
312222200200210201201
42022102201020110
514222422010400
61022120002244
7111331416250
oct21222411024
95880623651
102320110100
11a90707070
12549000384
132ac896719
141801c5260
15d8a4506a
hex8a4a1214

2320110100 has 144 divisors (see below), whose sum is σ = 6384591360. Its totient is φ = 710755200.

The previous prime is 2320110077. The next prime is 2320110101. The reversal of 2320110100 is 10110232.

It is a super-2 number, since 2×23201101002 = 10765821752244020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451747 + ... + 456853.

It is an arithmetic number, because the mean of its divisors is an integer number (44337440).

Almost surely, 22320110100 is an apocalyptic number.

2320110100 is a gapful number since it is divisible by the number (20) 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 2320110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192295680).

2320110100 is an abundant number, since it is smaller than the sum of its proper divisors (4064481260).

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

2320110100 is a wasteful number, since it uses less digits than its factorization.

2320110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2320110100 is about 48167.5212150262. The cubic root of 2320110100 is about 1323.8421307557.

Adding to 2320110100 its reverse (10110232), we get a palindrome (2330220332).

The spelling of 2320110100 in words is "two billion, three hundred twenty million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 59 70 77 100 110 118 140 154 175 220 236 275 295 308 350 385 413 550 590 649 700 770 826 1100 1180 1298 1475 1540 1652 1925 2065 2596 2950 3245 3850 4130 4543 5107 5900 6490 7700 8260 9086 10214 10325 12980 16225 18172 20428 20650 22715 25535 32450 35749 41300 45430 51070 56177 64900 71498 90860 102140 112354 113575 127675 142996 178745 224708 227150 255350 280885 301313 357490 393239 454300 510700 561770 602626 714980 786478 893725 1123540 1205252 1404425 1506565 1572956 1787450 1966195 2109191 2808850 3013130 3314443 3574900 3932390 4218382 5617700 6026260 6628886 7532825 7864780 8436764 9830975 10545955 13257772 15065650 16572215 19661950 21091910 23201101 30131300 33144430 39323900 42183820 46402202 52729775 66288860 82861075 92804404 105459550 116005505 165722150 210919100 232011010 331444300 464022020 580027525 1160055050 2320110100