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11221530000 = 243541722003
BaseRepresentation
bin10100111001101101…
…01111010110010000
31001222001021210021020
422130312233112100
5140440202430000
65053300155440
7545036300622
oct123466572620
931861253236
1011221530000
11483929663a
122212098b80
13109aaac5a5
14786498c12
1545a24cba0
hex29cdaf590

11221530000 has 200 divisors, whose sum is σ = 38357196768. Its totient is φ = 2816256000.

The previous prime is 11221529987. The next prime is 11221530011. The reversal of 11221530000 is 3512211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 498999 + ... + 521001.

Almost surely, 211221530000 is an apocalyptic number.

11221530000 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 11221530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19178598384).

11221530000 is an abundant number, since it is smaller than the sum of its proper divisors (27135666768).

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

11221530000 is a wasteful number, since it uses less digits than its factorization.

11221530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22051 (or 22030 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The spelling of 11221530000 in words is "eleven billion, two hundred twenty-one million, five hundred thirty thousand".