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10120300000 = 2555101203
BaseRepresentation
bin10010110110011011…
…11000010111100000
3222010022010111200221
421123031320113200
5131211244100000
64352121052424
7505535062546
oct113315702740
928108114627
1010120300000
1143237111a8
121b65327114
13c538baac5
146c0119d96
153e372261a
hex25b3785e0

10120300000 has 72 divisors (see below), whose sum is σ = 24904077912. Its totient is φ = 4048080000.

The previous prime is 10120299997. The next prime is 10120300009. The reversal of 10120300000 is 302101.

10120300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120300009) 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 11 ways as a sum of consecutive naturals, for example, 49399 + ... + 150601.

It is an arithmetic number, because the mean of its divisors is an integer number (345889971).

Almost surely, 210120300000 is an apocalyptic number.

10120300000 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 10120300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452038956).

10120300000 is an abundant number, since it is smaller than the sum of its proper divisors (14783777912).

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

10120300000 is an frugal number, since it uses more digits than its factorization.

10120300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101238 (or 101210 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10120300000 its reverse (302101), we get a palindrome (10120602101).

The spelling of 10120300000 in words is "ten billion, one hundred twenty million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 101203 202406 404812 506015 809624 1012030 1619248 2024060 2530075 3238496 4048120 5060150 8096240 10120300 12650375 16192480 20240600 25300750 40481200 50601500 63251875 80962400 101203000 126503750 202406000 253007500 316259375 404812000 506015000 632518750 1012030000 1265037500 2024060000 2530075000 5060150000 10120300000