Search a number
-
+
1122340100 = 2252721991151
BaseRepresentation
bin100001011100101…
…1000110100000100
32220012212210011212
41002321120310010
54244304340400
6303211350552
736545506400
oct10271306404
92805783155
101122340100
11526593802
12273a52458
1314b6a328b
14a90b6100
15687ea335
hex42e58d04

1122340100 has 108 divisors (see below), whose sum is σ = 2849817600. Its totient is φ = 382536000.

The previous prime is 1122340099. The next prime is 1122340103. The reversal of 1122340100 is 10432211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1122340103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 974525 + ... + 975675.

It is an arithmetic number, because the mean of its divisors is an integer number (26387200).

Almost surely, 21122340100 is an apocalyptic number.

1122340100 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 1122340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424908800).

1122340100 is an abundant number, since it is smaller than the sum of its proper divisors (1727477500).

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

1122340100 is a wasteful number, since it uses less digits than its factorization.

1122340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1122340100 is about 33501.3447491291. The cubic root of 1122340100 is about 1039.2215883835.

Adding to 1122340100 its reverse (10432211), we get a palindrome (1132772311).

The spelling of 1122340100 in words is "one billion, one hundred twenty-two million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 199 245 350 398 490 700 796 980 995 1151 1225 1393 1990 2302 2450 2786 3980 4604 4900 4975 5572 5755 6965 8057 9751 9950 11510 13930 16114 19502 19900 23020 27860 28775 32228 34825 39004 40285 48755 56399 57550 69650 80570 97510 112798 115100 139300 161140 195020 201425 225596 229049 243775 281995 402850 458098 487550 563990 805700 916196 975100 1127980 1145245 1409975 1603343 2290490 2819950 3206686 4580980 5639900 5726225 6413372 8016715 11223401 11452450 16033430 22446802 22904900 32066860 40083575 44893604 56117005 80167150 112234010 160334300 224468020 280585025 561170050 1122340100