Search a number
-
+
10301150000 = 24551712119
BaseRepresentation
bin10011001011111111…
…10001001100110000
3222120220102122021002
421211333301030300
5132044043300000
64422101221132
7513162221201
oct114577611460
928526378232
1010301150000
114406804509
121bb5a017a8
13c821cb83b
146da1555a8
154045478d5
hex265ff1330

10301150000 has 120 divisors (see below), whose sum is σ = 26416121760. Its totient is φ = 3877760000.

The previous prime is 10301149987. The next prime is 10301150021. The reversal of 10301150000 is 5110301.

It is a super-2 number, since 2×103011500002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843941 + ... + 856059.

It is an arithmetic number, because the mean of its divisors is an integer number (220134348).

Almost surely, 210301150000 is an apocalyptic number.

10301150000 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 10301150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208060880).

10301150000 is an abundant number, since it is smaller than the sum of its proper divisors (16114971760).

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

10301150000 is an equidigital number, since it uses as much as digits as its factorization.

10301150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12169 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 10301150000 its reverse (5110301), we get a palindrome (10306260301).

The spelling of 10301150000 in words is "ten billion, three hundred one million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3125 3400 4250 5000 6250 6800 8500 10000 10625 12119 12500 17000 21250 24238 25000 34000 42500 48476 50000 53125 60595 85000 96952 106250 121190 170000 193904 206023 212500 242380 302975 412046 425000 484760 605950 824092 850000 969520 1030115 1211900 1514875 1648184 2060230 2423800 3029750 3296368 4120460 4847600 5150575 6059500 7574375 8240920 10301150 12119000 15148750 16481840 20602300 24238000 25752875 30297500 37871875 41204600 51505750 60595000 75743750 82409200 103011500 121190000 128764375 151487500 206023000 257528750 302975000 412046000 515057500 605950000 643821875 1030115000 1287643750 2060230000 2575287500 5150575000 10301150000