Search a number
-
+
15010315100 = 22521165320897
BaseRepresentation
bin11011111101010111…
…10011101101011100
31102202002120000100022
431332223303231130
5221220120040400
610521243051312
71040653400414
oct157653635534
942662500308
1015010315100
116402a279a0
122aaab10b38
131552a1b171
14a2574b644
155ccba0b85
hex37eaf3b5c

15010315100 has 72 divisors (see below), whose sum is σ = 35589628368. Its totient is φ = 5449676800.

The previous prime is 15010315097. The next prime is 15010315109. The reversal of 15010315100 is 151301051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15010315109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707852 + ... + 728748.

It is an arithmetic number, because the mean of its divisors is an integer number (494300394).

Almost surely, 215010315100 is an apocalyptic number.

15010315100 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 15010315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794814184).

15010315100 is an abundant number, since it is smaller than the sum of its proper divisors (20579313268).

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

15010315100 is a wasteful number, since it uses less digits than its factorization.

15010315100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21575 (or 21568 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 17.

Adding to 15010315100 its reverse (151301051), we get a palindrome (15161616151).

The spelling of 15010315100 in words is "fifteen billion, ten million, three hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 653 1100 1306 2612 3265 6530 7183 13060 14366 16325 20897 28732 32650 35915 41794 65300 71830 83588 104485 143660 179575 208970 229867 359150 417940 459734 522425 718300 919468 1044850 1149335 2089700 2298670 4597340 5746675 11493350 13645741 22986700 27291482 54582964 68228705 136457410 150103151 272914820 300206302 341143525 600412604 682287050 750515755 1364574100 1501031510 3002063020 3752578775 7505157550 15010315100