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11302310000 = 24542394729
BaseRepresentation
bin10101000011010101…
…11001000001110000
31002011200021211121002
422201222321001300
5141121342410000
65105303421132
7550040023052
oct124152710160
932150254532
1011302310000
11487a94a873
1222351547a8
1310b17539c7
147930c58d2
154623a78d5
hex2a1ab9070

11302310000 has 100 divisors (see below), whose sum is σ = 27484327200. Its totient is φ = 4501056000.

The previous prime is 11302309979. The next prime is 11302310003. The reversal of 11302310000 is 1320311.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×113023100002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302310003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2387636 + ... + 2392364.

It is an arithmetic number, because the mean of its divisors is an integer number (274843272).

Almost surely, 211302310000 is an apocalyptic number.

11302310000 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 11302310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13742163600).

11302310000 is an abundant number, since it is smaller than the sum of its proper divisors (16182017200).

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

11302310000 is an equidigital number, since it uses as much as digits as its factorization.

11302310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11302310000 its reverse (1320311), we get a palindrome (11303630311).

The spelling of 11302310000 in words is "eleven billion, three hundred two million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 239 250 400 478 500 625 956 1000 1195 1250 1912 2000 2390 2500 3824 4729 4780 5000 5975 9458 9560 10000 11950 18916 19120 23645 23900 29875 37832 47290 47800 59750 75664 94580 95600 118225 119500 149375 189160 236450 239000 298750 378320 472900 478000 591125 597500 945800 1130231 1182250 1195000 1891600 2260462 2364500 2390000 2955625 4520924 4729000 5651155 5911250 9041848 9458000 11302310 11822500 18083696 22604620 23645000 28255775 45209240 47290000 56511550 90418480 113023100 141278875 226046200 282557750 452092400 565115500 706394375 1130231000 1412788750 2260462000 2825577500 5651155000 11302310000