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11001300020 = 2257313755001
BaseRepresentation
bin10100011111011101…
…01000010000110100
31001101200212221112022
422033232220100310
5140012313100040
65015352012312
7536423335664
oct121756502064
931350787468
1011001300020
114735a46597
122170391098
1310642912a9
1476512c1a4
15445c496b5
hex28fba8434

11001300020 has 48 divisors (see below), whose sum is σ = 23590577808. Its totient is φ = 4308480000.

The previous prime is 11001300001. The next prime is 11001300059. The reversal of 11001300020 is 2000310011.

It can be written as a sum of positive squares in 8 ways, for example, as 1104631696 + 9896668324 = 33236^2 + 99482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11001299980 and 11001300007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172520 + ... + 227520.

It is an arithmetic number, because the mean of its divisors is an integer number (491470371).

Almost surely, 211001300020 is an apocalyptic number.

11001300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001300020 is an abundant number, since it is smaller than the sum of its proper divisors (12589277788).

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

11001300020 is a wasteful number, since it uses less digits than its factorization.

11001300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55220 (or 55218 counting only the distinct ones).

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

Adding to 11001300020 its reverse (2000310011), we get a palindrome (13001610031).

Subtracting from 11001300020 its reverse (2000310011), we obtain a palindrome (9000990009).

The spelling of 11001300020 in words is "eleven billion, one million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1370 1460 2740 10001 20002 40004 50005 55001 100010 110002 200020 220004 275005 550010 1100020 4015073 7535137 8030146 15070274 16060292 20075365 30140548 37675685 40150730 75351370 80301460 150702740 550065001 1100130002 2200260004 2750325005 5500650010 11001300020