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11113331000 = 235315237297
BaseRepresentation
bin10100101100110011…
…11111100100111000
31001200111200201010212
422112121333210320
5140230003043000
65034433130252
7542253516632
oct122631774470
931614621125
1011113331000
114793205082
1221a19b9988
131081557c05
14775d71a52
154509c8c35
hex29667f938

11113331000 has 64 divisors (see below), whose sum is σ = 26025835680. Its totient is φ = 4441804800.

The previous prime is 11113330999. The next prime is 11113331011. The reversal of 11113331000 is 13331111.

It is a happy number.

It is a super-2 number, since 2×111133310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519352 + ... + 1526648.

Almost surely, 211113331000 is an apocalyptic number.

11113331000 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 11113331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13012917840).

11113331000 is an abundant number, since it is smaller than the sum of its proper divisors (14912504680).

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

11113331000 is a wasteful number, since it uses less digits than its factorization.

11113331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8827 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 11113331000 its reverse (13331111), we get a palindrome (11126662111).

The spelling of 11113331000 in words is "eleven billion, one hundred thirteen million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1523 3046 6092 7297 7615 12184 14594 15230 29188 30460 36485 38075 58376 60920 72970 76150 145940 152300 182425 190375 291880 304600 364850 380750 729700 761500 912125 1459400 1523000 1824250 3648500 7297000 11113331 22226662 44453324 55566655 88906648 111133310 222266620 277833275 444533240 555666550 1111333100 1389166375 2222666200 2778332750 5556665500 11113331000