Search a number
-
+
1130110020100 = 225211301100201
BaseRepresentation
bin10000011100011111110…
…011100110101000000100
311000001000022101021022101
4100130133303212220010
5122003431131120400
62223055415441444
7144435115450465
oct20343763465004
94001008337271
101130110020100
113a630570a826
12163033686284
1382751bb1909
143c9aa390d6c
151e5e40ad56a
hex1071fce6a04

1130110020100 has 18 divisors (see below), whose sum is σ = 2452338743834. Its totient is φ = 452044008000.

The previous prime is 1130110020097. The next prime is 1130110020103. The reversal of 1130110020100 is 10200110311.

It is an interprime number because it is at equal distance from previous prime (1130110020097) and next prime (1130110020103).

It can be written as a sum of positive squares in 3 ways, for example, as 1484252676 + 1128625767424 = 38526^2 + 1062368^2 .

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 (1130110020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5650550001 + ... + 5650550200.

Almost surely, 21130110020100 is an apocalyptic number.

1130110020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130110020100 is an abundant number, since it is smaller than the sum of its proper divisors (1322228723734).

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

1130110020100 is a wasteful number, since it uses less digits than its factorization.

1130110020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301100215 (or 11301100208 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1130110020100 its reverse (10200110311), we get a palindrome (1140310130411).

The spelling of 1130110020100 in words is "one trillion, one hundred thirty billion, one hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11301100201 22602200402 45204400804 56505501005 113011002010 226022004020 282527505025 565055010050 1130110020100