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11000231000 = 235311290911
BaseRepresentation
bin10100011111010101…
…00011010001011000
31001101121212122002222
422033222203101120
5140012024343000
65015313043212
7536411264213
oct121752432130
931347778088
1011000231000
114735386400
12216bb56508
131063ca8835
14764d3077a
15445ad7a85
hex28faa3458

11000231000 has 96 divisors (see below), whose sum is σ = 28293632640. Its totient is φ = 4000040000.

The previous prime is 11000230951. The next prime is 11000231023. The reversal of 11000231000 is 13200011.

It is a super-2 number, since 2×110002310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

11000231000 is a modest number, since divided by 231000 gives 11000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75545 + ... + 166455.

It is an arithmetic number, because the mean of its divisors is an integer number (294725340).

Almost surely, 211000231000 is an apocalyptic number.

11000231000 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 11000231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146816320).

11000231000 is an abundant number, since it is smaller than the sum of its proper divisors (17293401640).

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

11000231000 is a wasteful number, since it uses less digits than its factorization.

11000231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90954 (or 90929 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11000231000 its reverse (13200011), we get a palindrome (11013431011).

The spelling of 11000231000 in words is "eleven billion, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 90911 121000 181822 363644 454555 727288 909110 1000021 1818220 2000042 2272775 3636440 4000084 4545550 5000105 8000168 9091100 10000210 11000231 11363875 18182200 20000420 22000462 22727750 25000525 40000840 44000924 45455500 50001050 55001155 88001848 90911000 100002100 110002310 125002625 200004200 220004620 250005250 275005775 440009240 500010500 550011550 1000021000 1100023100 1375028875 2200046200 2750057750 5500115500 11000231000