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11011000001000 = 235353207754717
BaseRepresentation
bin1010000000111011001010…
…1111100110000111101000
31102222122022112002121220212
42200032302233212013220
52420401012000013000
635230214503440252
72214342562512146
oct240166257460750
942878275077825
1011011000001000
11356581449852a
12129a009756088
1361b44334bc9c
142a0d14446596
1514164c248c35
hexa03b2be61e8

11011000001000 has 64 divisors (see below), whose sum is σ = 26251886166480. Its totient is φ = 4321298092800.

The previous prime is 11011000000967. The next prime is 11011000001009. The reversal of 11011000001000 is 10000011011.

It can be written as a sum of positive squares in 8 ways, for example, as 892862467396 + 10118137533604 = 944914^2 + 3180902^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (11011000001009) 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, 103824359 + ... + 103930358.

Almost surely, 211011000001000 is an apocalyptic number.

11011000001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011000001000 is an abundant number, since it is smaller than the sum of its proper divisors (15240886165480).

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

11011000001000 is a wasteful number, since it uses less digits than its factorization.

11011000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207754791 (or 207754777 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11011000001000 its reverse (10000011011), we get a palindrome (11021000012011).

The spelling of 11011000001000 in words is "eleven trillion, eleven billion, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 53000 207754717 415509434 831018868 1038773585 1662037736 2077547170 4155094340 5193867925 8310188680 10387735850 11011000001 20775471700 22022000002 25969339625 41550943400 44044000004 51938679250 55055000005 88088000008 103877358500 110110000010 207754717000 220220000020 275275000025 440440000040 550550000050 1101100000100 1376375000125 2202200000200 2752750000250 5505500000500 11011000001000