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11303156000 = 25532997441
BaseRepresentation
bin10101000011011100…
…00111100100100000
31002011201212211002102
422201232013210200
5141122101443000
65105333505532
7550050145403
oct124156074440
932151784072
1011303156000
114880378444
1222354a22a8
1310b198bab6
14793265d3a
154624c33d5
hex2a1b87920

11303156000 has 96 divisors (see below), whose sum is σ = 28729799280. Its totient is φ = 4365312000.

The previous prime is 11303155973. The next prime is 11303156003. The reversal of 11303156000 is 65130311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 161086864 + 11142069136 = 12692^2 + 105556^2 .

It is a super-2 number, since 2×113031560002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11303156003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67280 + ... + 164720.

Almost surely, 211303156000 is an apocalyptic number.

11303156000 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 11303156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364899640).

11303156000 is an abundant number, since it is smaller than the sum of its proper divisors (17426643280).

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

11303156000 is an equidigital number, since it uses as much as digits as its factorization.

11303156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97495 (or 97477 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 11303156000 its reverse (65130311), we get a palindrome (11368286311).

The spelling of 11303156000 in words is "eleven billion, three hundred three million, one hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 97441 116000 194882 389764 487205 779528 974410 1559056 1948820 2436025 2825789 3118112 3897640 4872050 5651578 7795280 9744100 11303156 12180125 14128945 15590560 19488200 22606312 24360250 28257890 38976400 45212624 48720500 56515780 70644725 77952800 90425248 97441000 113031560 141289450 194882000 226063120 282578900 353223625 389764000 452126240 565157800 706447250 1130315600 1412894500 2260631200 2825789000 5651578000 11303156000