Search a number
-
+
11130315020 = 22511233170957
BaseRepresentation
bin10100101110110101…
…10010000100001100
31001201200122120211122
422113122302010030
5140243330040040
65040241140112
7542551055006
oct122732620414
931650576748
1011130315020
1147a1855460
1221a762a638
131084c23626
14778313376
154522311b5
hex2976b210c

11130315020 has 96 divisors (see below), whose sum is σ = 27465854976. Its totient is φ = 3746476800.

The previous prime is 11130314999. The next prime is 11130315029. The reversal of 11130315020 is 2051303111.

It is a self number, because there is not a number n which added to its sum of digits gives 11130315020.

It is not an unprimeable number, because it can be changed into a prime (11130315029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121382 + ... + 192338.

It is an arithmetic number, because the mean of its divisors is an integer number (286102656).

Almost surely, 211130315020 is an apocalyptic number.

11130315020 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 11130315020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13732927488).

11130315020 is an abundant number, since it is smaller than the sum of its proper divisors (16335539956).

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

11130315020 is a wasteful number, since it uses less digits than its factorization.

11130315020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71031 (or 71029 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 11130315020 its reverse (2051303111), we get a palindrome (13181618131).

The spelling of 11130315020 in words is "eleven billion, one hundred thirty million, three hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 31 44 46 55 62 92 110 115 124 155 220 230 253 310 341 460 506 620 682 713 1012 1265 1364 1426 1705 2530 2852 3410 3565 5060 6820 7130 7843 14260 15686 31372 39215 70957 78430 141914 156860 283828 354785 709570 780527 1419140 1561054 1632011 2199667 3122108 3264022 3902635 4399334 6528044 7805270 8160055 8798668 10998335 15610540 16320110 17952121 21996670 24196337 32640220 35904242 43993340 48392674 50592341 71808484 89760605 96785348 101184682 120981685 179521210 202369364 241963370 252961705 359042420 483926740 505923410 556515751 1011846820 1113031502 2226063004 2782578755 5565157510 11130315020