Search a number
-
+
10120310300 = 2252374675857
BaseRepresentation
bin10010110110011011…
…11010111000011100
3222010022011000211102
421123031322320130
5131211244412200
64352121212232
7505535134562
oct113315727034
928108130742
1010120310300
114323718a11
121b65331078
13c538c26b9
146c011da32
153e37256d5
hex25b37ae1c

10120310300 has 72 divisors (see below), whose sum is σ = 22606771824. Its totient is φ = 3929610240.

The previous prime is 10120310261. The next prime is 10120310311. The reversal of 10120310300 is 301302101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1724972 + ... + 1730828.

It is an arithmetic number, because the mean of its divisors is an integer number (313982942).

Almost surely, 210120310300 is an apocalyptic number.

10120310300 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 10120310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11303385912).

10120310300 is an abundant number, since it is smaller than the sum of its proper divisors (12486461524).

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

10120310300 is a wasteful number, since it uses less digits than its factorization.

10120310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10120310300 its reverse (301302101), we get a palindrome (10421612401).

The spelling of 10120310300 in words is "ten billion, one hundred twenty million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 467 740 925 934 1850 1868 2335 3700 4670 5857 9340 11675 11714 17279 23350 23428 29285 34558 46700 58570 69116 86395 117140 146425 172790 216709 292850 345580 431975 433418 585700 863950 866836 1083545 1727900 2167090 2735219 4334180 5417725 5470438 10835450 10940876 13676095 21670900 27352190 54704380 68380475 101203103 136760950 202406206 273521900 404812412 506015515 1012031030 2024062060 2530077575 5060155150 10120310300