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11000201000 = 23531312641
BaseRepresentation
bin10100011111010100…
…11011111100101000
31001101121211002221212
422033222123330220
5140012022413000
65015312252252
7536411110565
oct121752337450
931347732855
1011000201000
114735365908
12216bb41088
131063c97c99
14764d2386c
15445acdc35
hex28fa9bf28

11000201000 has 96 divisors (see below), whose sum is σ = 25978928040. Its totient is φ = 4359680000.

The previous prime is 11000200957. The next prime is 11000201011. The reversal of 11000201000 is 10200011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5733215524 + 5266985476 = 75718^2 + 72574^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 17160680 + ... + 17161320.

Almost surely, 211000201000 is an apocalyptic number.

11000201000 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 11000201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12989464020).

11000201000 is an abundant number, since it is smaller than the sum of its proper divisors (14978727040).

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

11000201000 is an equidigital number, since it uses as much as digits as its factorization.

11000201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 11000201000 its reverse (10200011), we get a palindrome (11010401011).

The spelling of 11000201000 in words is "eleven billion, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 641 655 1000 1048 1282 1310 2564 2620 3205 3275 5128 5240 6410 6550 12820 13100 16025 16375 17161 25640 26200 32050 32750 34322 64100 65500 68644 80125 83971 85805 128200 131000 137288 160250 167942 171610 320500 335884 343220 419855 429025 641000 671768 686440 839710 858050 1679420 1716100 2099275 2145125 3358840 3432200 4198550 4290250 8397100 8580500 10496375 11000201 16794200 17161000 20992750 22000402 41985500 44000804 55001005 83971000 88001608 110002010 220004020 275005025 440008040 550010050 1100020100 1375025125 2200040200 2750050250 5500100500 11000201000