Search a number
-
+
1121100100 = 225244325307
BaseRepresentation
bin100001011010010…
…1010000101000100
32220010112210012221
41002310222011010
54244000200400
6303125022124
736532123261
oct10264520504
92803483187
101121100100
1152591710a
12273554944
1314b35aa53
14a8c72268
1568652c1a
hex42d2a144

1121100100 has 36 divisors (see below), whose sum is σ = 2438375184. Its totient is φ = 447410080.

The previous prime is 1121100083. The next prime is 1121100119. The reversal of 1121100100 is 10011211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31647 + ... + 56953.

It is an arithmetic number, because the mean of its divisors is an integer number (67732644).

Almost surely, 21121100100 is an apocalyptic number.

1121100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121100100 is an abundant number, since it is smaller than the sum of its proper divisors (1317275084).

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

1121100100 is a wasteful number, since it uses less digits than its factorization.

1121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25764 (or 25757 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1121100100 is about 33482.8329147938. The cubic root of 1121100100 is about 1038.8387247467.

Adding to 1121100100 its reverse (10011211), we get a palindrome (1131111311).

Subtracting from 1121100100 its reverse (10011211), we obtain a square (1111088889 = 333332).

The spelling of 1121100100 in words is "one billion, one hundred twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 443 886 1772 2215 4430 8860 11075 22150 25307 44300 50614 101228 126535 253070 506140 632675 1265350 2530700 11211001 22422002 44844004 56055005 112110010 224220020 280275025 560550050 1121100100