Search a number
-
+
232301010300 = 223524127169691
BaseRepresentation
bin1101100001011000111…
…0000001110101111100
3211012121110100000121020
43120112032001311330
512301223024312200
6254415000504140
722532431002462
oct3302616016574
9735543300536
10232301010300
118a577956337
123903117b050
1318ba1321218
14b359d7c832
1560990bdea0
hex3616381d7c

232301010300 has 144 divisors (see below), whose sum is σ = 691068102144. Its totient is φ = 60212160000.

The previous prime is 232301010241. The next prime is 232301010307. The reversal of 232301010300 is 3010103232.

232301010300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232301010300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232301010307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3298455 + ... + 3368145.

Almost surely, 2232301010300 is an apocalyptic number.

232301010300 is a gapful number since it is divisible by the number (20) 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 232301010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345534051072).

232301010300 is an abundant number, since it is smaller than the sum of its proper divisors (458767091844).

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

232301010300 is a wasteful number, since it uses less digits than its factorization.

232301010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70020 (or 70013 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 232301010300 its reverse (3010103232), we get a palindrome (235311113532).

The spelling of 232301010300 in words is "two hundred thirty-two billion, three hundred one million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6775 8130 11111 12300 13550 16260 20325 22222 27100 33333 40650 44444 55555 66666 69691 81300 111110 133332 139382 166665 209073 222220 277775 278764 333330 348455 418146 555550 666660 696910 833325 836292 1045365 1111100 1393820 1666650 1742275 2090730 2857331 3333300 3484550 4181460 5226825 5714662 6969100 8571993 10453650 11429324 14286655 17143986 18886261 20907300 28573310 34287972 37772522 42859965 56658783 57146620 71433275 75545044 85719930 94431305 113317566 142866550 171439860 188862610 214299825 226635132 283293915 285733100 377725220 428599650 472156525 566587830 774336701 857199300 944313050 1133175660 1416469575 1548673402 1888626100 2323010103 2832939150 3097346804 3871683505 4646020206 5665878300 7743367010 9292040412 11615050515 15486734020 19358417525 23230101030 38716835050 46460202060 58075252575 77433670100 116150505150 232301010300