[go: up one dir, main page]

Search a number
-
+
1211114300 = 2252117871399
BaseRepresentation
bin100100000110000…
…0010001100111100
310010101220222111012
41020030002030330
54440021124200
6320102214352
742004205324
oct11014021474
93111828435
101211114300
11571708110
122997243b8
13163bb62a6
14b6bc4284
15714d3a35
hex4830233c

1211114300 has 72 divisors (see below), whose sum is σ = 2872732800. Its totient is φ = 439531200.

The previous prime is 1211114297. The next prime is 1211114309. The reversal of 1211114300 is 34111121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211114309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865001 + ... + 866399.

Almost surely, 21211114300 is an apocalyptic number.

1211114300 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 1211114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436366400).

1211114300 is an abundant number, since it is smaller than the sum of its proper divisors (1661618500).

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

1211114300 is a wasteful number, since it uses less digits than its factorization.

1211114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1211114300 is about 34801.0675123623. The cubic root of 1211114300 is about 1065.9292440015.

Adding to 1211114300 its reverse (34111121), we get a palindrome (1245225421).

It can be divided in two parts, 1211 and 114300, that added together give a palindrome (115511).

The spelling of 1211114300 in words is "one billion, two hundred eleven million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 787 1100 1399 1574 2798 3148 3935 5596 6995 7870 8657 13990 15389 15740 17314 19675 27980 30778 34628 34975 39350 43285 61556 69950 76945 78700 86570 139900 153890 173140 216425 307780 384725 432850 769450 865700 1101013 1538900 2202026 4404052 5505065 11010130 12111143 22020260 24222286 27525325 48444572 55050650 60555715 110101300 121111430 242222860 302778575 605557150 1211114300