Search a number
-
+
11120523484260 = 223510311291593833
BaseRepresentation
bin1010000111010011001011…
…0110100001110001100100
31110101010000101212001012210
42201310302312201301210
52424144313002444020
635352410432043420
72225300636663031
oct241646266416144
943333011761183
1011120523484260
1135a8207660553
1212b7294993570
13628878bc6808
142a6344228388
1514440c5b63e0
hexa1d32da1c64

11120523484260 has 96 divisors (see below), whose sum is σ = 31467638442240. Its totient is φ = 2934078953472.

The previous prime is 11120523484229. The next prime is 11120523484261. The reversal of 11120523484260 is 6248432502111.

It is not an unprimeable number, because it can be changed into a prime (11120523484261) 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, 6180304 + ... + 7774136.

It is an arithmetic number, because the mean of its divisors is an integer number (327787900440).

Almost surely, 211120523484260 is an apocalyptic number.

11120523484260 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 11120523484260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733819221120).

11120523484260 is an abundant number, since it is smaller than the sum of its proper divisors (20347114957980).

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

11120523484260 is a wasteful number, since it uses less digits than its factorization.

11120523484260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595077 (or 1595075 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

Adding to 11120523484260 its reverse (6248432502111), we get a palindrome (17368955986371).

The spelling of 11120523484260 in words is "eleven trillion, one hundred twenty billion, five hundred twenty-three million, four hundred eighty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1129 1236 1545 2060 2258 3090 3387 4516 5645 6180 6774 11290 13548 16935 22580 33870 67740 116287 232574 348861 465148 581435 697722 1162870 1395444 1593833 1744305 2325740 3187666 3488610 4781499 6375332 6977220 7969165 9562998 15938330 19125996 23907495 31876660 47814990 95629980 164164799 328329598 492494397 656659196 820823995 984988794 1641647990 1799437457 1969977588 2462471985 3283295980 3598874914 4924943970 5398312371 7197749828 8997187285 9849887940 10796624742 17994374570 21593249484 26991561855 35988749140 53983123710 107966247420 185342058071 370684116142 556026174213 741368232284 926710290355 1112052348426 1853420580710 2224104696852 2780130871065 3706841161420 5560261742130 11120523484260