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1121100020 = 225173297353
BaseRepresentation
bin100001011010010…
…1010000011110100
32220010112210002222
41002310222003310
54244000200040
6303125021512
736532123115
oct10264520364
92803483088
101121100020
11525917047
12273554898
1314b35a9c1
14a8c7220c
1568652bb5
hex42d2a0f4

1121100020 has 24 divisors (see below), whose sum is σ = 2492799624. Its totient is φ = 422061056.

The previous prime is 1121099983. The next prime is 1121100083. The reversal of 1121100020 is 200011211.

It can be written as a sum of positive squares in 4 ways, for example, as 28665316 + 1092434704 = 5354^2 + 33052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1121099980 and 1121100007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1648337 + ... + 1649016.

It is an arithmetic number, because the mean of its divisors is an integer number (103866651).

Almost surely, 21121100020 is an apocalyptic number.

1121100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121100020 is an abundant number, since it is smaller than the sum of its proper divisors (1371699604).

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

1121100020 is a wasteful number, since it uses less digits than its factorization.

1121100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297379 (or 3297377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1121100020 is about 33482.8317201517. The cubic root of 1121100020 is about 1038.8387000367.

Adding to 1121100020 its reverse (200011211), we get a palindrome (1321111231).

The spelling of 1121100020 in words is "one billion, one hundred twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3297353 6594706 13189412 16486765 32973530 56055001 65947060 112110002 224220004 280275005 560550010 1121100020