Search a number
-
+
1113312700 = 225223539133
BaseRepresentation
bin100001001011011…
…1100110110111100
32212120220010220201
41002112330312330
54240002001300
6302250053244
736406000423
oct10226746674
92776803821
101113312700
11521488345
12270a1a224
13149862316
14a7c062ba
1567b1566a
hex425bcdbc

1113312700 has 72 divisors (see below), whose sum is σ = 2568773088. Its totient is φ = 417880320.

The previous prime is 1113312691. The next prime is 1113312709. The reversal of 1113312700 is 72133111.

It is an interprime number because it is at equal distance from previous prime (1113312691) and next prime (1113312709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113312709) 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 23 ways as a sum of consecutive naturals, for example, 117334 + ... + 126466.

It is an arithmetic number, because the mean of its divisors is an integer number (35677404).

Almost surely, 21113312700 is an apocalyptic number.

1113312700 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 1113312700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284386544).

1113312700 is an abundant number, since it is smaller than the sum of its proper divisors (1455460388).

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

1113312700 is a wasteful number, since it uses less digits than its factorization.

1113312700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 1113312700 is about 33366.3408242498. The cubic root of 1113312700 is about 1036.4278021819.

Adding to 1113312700 its reverse (72133111), we get a palindrome (1185445811).

The spelling of 1113312700 in words is "one billion, one hundred thirteen million, three hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 212 230 265 460 530 575 1060 1150 1219 1325 2300 2438 2650 4876 5300 6095 9133 12190 18266 24380 30475 36532 45665 60950 91330 121900 182660 210059 228325 420118 456650 484049 840236 913300 968098 1050295 1936196 2100590 2420245 4201180 4840490 5251475 9680980 10502950 11133127 12101225 21005900 22266254 24202450 44532508 48404900 55665635 111331270 222662540 278328175 556656350 1113312700