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11121022000 = 245311505501
BaseRepresentation
bin10100101101101110…
…10101010000110000
31001201001011110012201
422112313111100300
5140233440201000
65035310032544
7542406061444
oct122667252060
931631143181
1011121022000
114797588480
1221a44a8754
13108301b7ba
14776db4824
154514e796a
hex296dd5430

11121022000 has 80 divisors (see below), whose sum is σ = 29335292064. Its totient is φ = 4044000000.

The previous prime is 11121021973. The next prime is 11121022009. The reversal of 11121022000 is 22012111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11121022009) 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, 230751 + ... + 274750.

Almost surely, 211121022000 is an apocalyptic number.

11121022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121022000 is an abundant number, since it is smaller than the sum of its proper divisors (18214270064).

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

11121022000 is a wasteful number, since it uses less digits than its factorization.

11121022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505535 (or 505519 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11121022000 its reverse (22012111), we get a palindrome (11143034111).

The spelling of 11121022000 in words is "eleven billion, one hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 505501 1011002 2022004 2527505 4044008 5055010 5560511 8088016 10110020 11121022 12637525 20220040 22242044 25275050 27802555 40440080 44484088 50550100 55605110 63187625 88968176 101100200 111210220 126375250 139012775 202200400 222420440 252750500 278025550 444840880 505501000 556051100 695063875 1011002000 1112102200 1390127750 2224204400 2780255500 5560511000 11121022000