Search a number
-
+
11341454300 = 225211107167577
BaseRepresentation
bin10101001000000000…
…01101101111011100
31002021101221120110222
422210000031233130
5141211403014200
65113222420512
7551023525301
oct124400155734
932241846428
1011341454300
11489aa56530
122246291738
1310b98aac07
147983950a8
15465a3ad85
hex2a400dbdc

11341454300 has 144 divisors (see below), whose sum is σ = 27308752128. Its totient is φ = 4054118400.

The previous prime is 11341454287. The next prime is 11341454339. The reversal of 11341454300 is 345414311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11341454300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19655612 + ... + 19656188.

It is an arithmetic number, because the mean of its divisors is an integer number (189644112).

Almost surely, 211341454300 is an apocalyptic number.

11341454300 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 11341454300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654376064).

11341454300 is an abundant number, since it is smaller than the sum of its proper divisors (15967297828).

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

11341454300 is a wasteful number, since it uses less digits than its factorization.

11341454300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 11341454300 its reverse (345414311), we get a palindrome (11686868611).

The spelling of 11341454300 in words is "eleven billion, three hundred forty-one million, four hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 167 214 220 275 334 428 535 550 577 668 835 1070 1100 1154 1177 1670 1837 2140 2308 2354 2675 2885 3340 3674 4175 4708 5350 5770 5885 6347 7348 8350 9185 10700 11540 11770 12694 14425 16700 17869 18370 23540 25388 28850 29425 31735 35738 36740 45925 57700 58850 61739 63470 71476 89345 91850 96359 117700 123478 126940 158675 178690 183700 192718 196559 246956 308695 317350 357380 385436 393118 446725 481795 617390 634700 679129 786236 893450 963590 982795 1059949 1234780 1358258 1543475 1786900 1927180 1965590 2119898 2408975 2716516 3086950 3395645 3931180 4239796 4817950 4913975 5299745 6173900 6791290 9635900 9827950 10310413 10599490 13582580 16978225 19655900 20620826 21198980 26498725 33956450 41241652 51552065 52997450 67912900 103104130 105994900 113414543 206208260 226829086 257760325 453658172 515520650 567072715 1031041300 1134145430 2268290860 2835363575 5670727150 11341454300