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1113331000 = 23531816151
BaseRepresentation
bin100001001011100…
…0001010100111000
32212120221002000111
41002113001110320
54240003043000
6302250314104
736406104655
oct10227012470
92776832014
101113331000
115214a0071
12270a28934
1314986a752
14a7c0cc2c
1567b1acba
hex425c1538

1113331000 has 64 divisors (see below), whose sum is σ = 2620013760. Its totient is φ = 442800000.

The previous prime is 1113330989. The next prime is 1113331001. The reversal of 1113331000 is 1333111.

It is a happy number.

It is a super-2 number, since 2×11133310002 = 2479011831122000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113331001) 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, 177925 + ... + 184075.

It is an arithmetic number, because the mean of its divisors is an integer number (40937715).

Almost surely, 21113331000 is an apocalyptic number.

1113331000 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 1113331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310006880).

1113331000 is an abundant number, since it is smaller than the sum of its proper divisors (1506682760).

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

1113331000 is a wasteful number, since it uses less digits than its factorization.

1113331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1113331000 is about 33366.6150515751. The cubic root of 1113331000 is about 1036.4334808874.

Adding to 1113331000 its reverse (1333111), we get a palindrome (1114664111).

The spelling of 1113331000 in words is "one billion, one hundred thirteen million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1448 1810 3620 4525 6151 7240 9050 12302 18100 22625 24604 30755 36200 45250 49208 61510 90500 123020 153775 181000 246040 307550 615100 768875 1113331 1230200 1537750 2226662 3075500 4453324 5566655 6151000 8906648 11133310 22266620 27833275 44533240 55666550 111333100 139166375 222666200 278332750 556665500 1113331000