Search a number
-
+
10304200100 = 22522347199479
BaseRepresentation
bin10011001100010110…
…11001110110100100
3222121010011121012202
421212023121312210
5132100333400400
64422250434032
7513230153465
oct114613316644
928533147182
1010304200100
1144084a8057
121bb6a32918
13c82a28c2c
146da70ad6c
1540494b4d5
hex2662d9da4

10304200100 has 144 divisors (see below), whose sum is σ = 23998464000. Its totient is φ = 3831189120.

The previous prime is 10304200079. The next prime is 10304200111. The reversal of 10304200100 is 100240301.

It is a happy number.

10304200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 21511661 + ... + 21512139.

It is an arithmetic number, because the mean of its divisors is an integer number (166656000).

Almost surely, 210304200100 is an apocalyptic number.

10304200100 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 10304200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999232000).

10304200100 is an abundant number, since it is smaller than the sum of its proper divisors (13694263900).

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

10304200100 is a wasteful number, since it uses less digits than its factorization.

10304200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10304200100 its reverse (100240301), we get a palindrome (10404440401).

The spelling of 10304200100 in words is "ten billion, three hundred four million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 47 50 92 94 100 115 188 199 230 235 398 460 470 479 575 796 940 958 995 1081 1150 1175 1916 1990 2162 2300 2350 2395 3980 4324 4577 4700 4790 4975 5405 9154 9353 9580 9950 10810 11017 11975 18308 18706 19900 21620 22034 22513 22885 23950 27025 37412 44068 45026 45770 46765 47900 54050 55085 90052 91540 93530 95321 108100 110170 112565 114425 187060 190642 215119 220340 225130 228850 233825 275425 381284 430238 450260 457700 467650 476605 517799 550850 562825 860476 935300 953210 1035598 1075595 1101700 1125650 1906420 2071196 2151190 2192383 2251300 2383025 2588995 4302380 4384766 4480087 4766050 5177990 5377975 8769532 8960174 9532100 10355980 10755950 10961915 12944975 17920348 21511900 21923830 22400435 25889950 43847660 44800870 51779900 54809575 89601740 103042001 109619150 112002175 206084002 219238300 224004350 412168004 448008700 515210005 1030420010 2060840020 2576050025 5152100050 10304200100