Search a number
-
+
11621055300 = 22352437331229
BaseRepresentation
bin10101101001010101…
…10011101101000100
31002222220001202221120
422310222303231010
5142244442232200
65201051313540
7560660224461
oct126452635504
932886052846
1011621055300
114a23867938
122303a4b8b0
1311327b5aaa
147c3578668
1548036a9a0
hex2b4ab3b44

11621055300 has 144 divisors (see below), whose sum is σ = 34480501440. Its totient is φ = 3020290560.

The previous prime is 11621055269. The next prime is 11621055307. The reversal of 11621055300 is 355012611.

11621055300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11621055307) 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 47 ways as a sum of consecutive naturals, for example, 9455086 + ... + 9456314.

Almost surely, 211621055300 is an apocalyptic number.

11621055300 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 11621055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240250720).

11621055300 is an abundant number, since it is smaller than the sum of its proper divisors (22859446140).

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

11621055300 is a wasteful number, since it uses less digits than its factorization.

11621055300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11621055300 its reverse (355012611), we get a palindrome (11976067911).

The spelling of 11621055300 in words is "eleven billion, six hundred twenty-one million, fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 733 860 1075 1229 1290 1466 2150 2199 2458 2580 2932 3225 3665 3687 4300 4398 4916 6145 6450 7330 7374 8796 10995 12290 12900 14660 14748 18325 18435 21990 24580 30725 31519 36650 36870 43980 52847 54975 61450 63038 73300 73740 92175 94557 105694 109950 122900 126076 157595 158541 184350 189114 211388 219900 264235 315190 317082 368700 378228 472785 528470 630380 634164 787975 792705 900857 945570 1056940 1321175 1575950 1585410 1801714 1891140 2363925 2642350 2702571 3151900 3170820 3603428 3963525 4504285 4727850 5284700 5405142 7927050 9008570 9455700 10810284 13512855 15854100 18017140 22521425 27025710 38736851 45042850 54051420 67564275 77473702 90085700 116210553 135128550 154947404 193684255 232421106 270257100 387368510 464842212 581052765 774737020 968421275 1162105530 1936842550 2324211060 2905263825 3873685100 5810527650 11621055300