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1122011112020 = 225181309947821
BaseRepresentation
bin10000010100111101000…
…100101110001001010100
310222021002212212010000212
4100110331010232021110
5121340334321041040
62215240024024552
7144030324043541
oct20247504561124
93867085763025
101122011112020
113a292a027267
12161553302158
1381a6101b006
143c43c8dbbc8
151e2bd076d65
hex1053d12e254

1122011112020 has 24 divisors (see below), whose sum is σ = 2369241151368. Its totient is φ = 446324860800.

The previous prime is 1122011111981. The next prime is 1122011112023. The reversal of 1122011112020 is 202111102211.

It can be written as a sum of positive squares in 4 ways, for example, as 22335900304 + 1099675211716 = 149452^2 + 1048654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1122011111986 and 1122011112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122011112023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154970291 + ... + 154977530.

It is an arithmetic number, because the mean of its divisors is an integer number (98718381307).

Almost surely, 21122011112020 is an apocalyptic number.

1122011112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122011112020 is an abundant number, since it is smaller than the sum of its proper divisors (1247230039348).

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

1122011112020 is a wasteful number, since it uses less digits than its factorization.

1122011112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309948011 (or 309948009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1122011112020 its reverse (202111102211), we get a palindrome (1324122214231).

It can be divided in two parts, 112201 and 1112020, that added together give a palindrome (1224221).

The spelling of 1122011112020 in words is "one trillion, one hundred twenty-two billion, eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 309947821 619895642 1239791284 1549739105 3099478210 6198956420 56100555601 112201111202 224402222404 280502778005 561005556010 1122011112020