Search a number
-
+
1144230100 = 2252131994423
BaseRepresentation
bin100010000110011…
…1001000011010100
32221202001220121121
41010030321003110
54320410330400
6305312453324
740232536546
oct10414710324
92852056547
101144230100
11537985012
1227b24a244
13153098a40
14abd73696
156a6c121a
hex443390d4

1144230100 has 72 divisors (see below), whose sum is σ = 2688022400. Its totient is φ = 420266880.

The previous prime is 1144230097. The next prime is 1144230127. The reversal of 1144230100 is 10324411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256489 + ... + 260911.

Almost surely, 21144230100 is an apocalyptic number.

1144230100 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 1144230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344011200).

1144230100 is an abundant number, since it is smaller than the sum of its proper divisors (1543792300).

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

1144230100 is a wasteful number, since it uses less digits than its factorization.

1144230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1144230100 is about 33826.4704041081. The cubic root of 1144230100 is about 1045.9344220983.

Adding to 1144230100 its reverse (10324411), we get a palindrome (1154554511).

The spelling of 1144230100 in words is "one billion, one hundred forty-four million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 199 260 325 398 650 796 995 1300 1990 2587 3980 4423 4975 5174 8846 9950 10348 12935 17692 19900 22115 25870 44230 51740 57499 64675 88460 110575 114998 129350 221150 229996 258700 287495 442300 574990 880177 1149980 1437475 1760354 2874950 3520708 4400885 5749900 8801770 11442301 17603540 22004425 22884602 44008850 45769204 57211505 88017700 114423010 228846020 286057525 572115050 1144230100