Search a number
-
+
11141252000 = 25532785313
BaseRepresentation
bin10100110000001001…
…00000001110100000
31001202110020020112222
422120010200032200
5140304130031000
65041311410212
7543043036154
oct123004401640
931673206488
1011141252000
1147a7a4558a
1221ab223968
131087282808
1477995d064
15453191a85
hex2981203a0

11141252000 has 48 divisors (see below), whose sum is σ = 27374065992. Its totient is φ = 4456499200.

The previous prime is 11141251999. The next prime is 11141252041. The reversal of 11141252000 is 25214111.

It can be written as a sum of positive squares in 4 ways, for example, as 1815100816 + 9326151184 = 42604^2 + 96572^2 .

It is a super-2 number, since 2×111412520002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11141252000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1388657 + ... + 1396656.

Almost surely, 211141252000 is an apocalyptic number.

11141252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141252000 is an abundant number, since it is smaller than the sum of its proper divisors (16232813992).

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

11141252000 is an equidigital number, since it uses as much as digits as its factorization.

11141252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785338 (or 2785320 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 11141252000 its reverse (25214111), we get a palindrome (11166466111).

The spelling of 11141252000 in words is "eleven billion, one hundred forty-one million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 2785313 5570626 11141252 13926565 22282504 27853130 44565008 55706260 69632825 89130016 111412520 139265650 222825040 278531300 348164125 445650080 557062600 696328250 1114125200 1392656500 2228250400 2785313000 5570626000 11141252000