Search a number
-
+
1121001110000 = 2454112100111
BaseRepresentation
bin10000010100000000110…
…111110111100111110000
310222011111111100200201122
4100110000313313213300
5121331302241010000
62214551504121412
7143663311134332
oct20240067674760
93864444320648
101121001110000
113a24609a1852
12161311006268
138192c9bb395
143c384709452
151e25e56c085
hex10500df79f0

1121001110000 has 50 divisors (see below), whose sum is σ = 2714055811632. Its totient is φ = 448400440000.

The previous prime is 1121001109913. The next prime is 1121001110003. The reversal of 1121001110000 is 111001211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1121001110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121001110003) 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 9 ways as a sum of consecutive naturals, for example, 56040056 + ... + 56060055.

Almost surely, 21121001110000 is an apocalyptic number.

1121001110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121001110000 is an abundant number, since it is smaller than the sum of its proper divisors (1593054701632).

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

1121001110000 is an equidigital number, since it uses as much as digits as its factorization.

1121001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112100139 (or 112100118 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1121001110000 its reverse (111001211), we get a palindrome (1121112111211).

The spelling of 1121001110000 in words is "one trillion, one hundred twenty-one billion, one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 112100111 224200222 448400444 560500555 896800888 1121001110 1793601776 2242002220 2802502775 4484004440 5605005550 8968008880 11210011100 14012513875 22420022200 28025027750 44840044400 56050055500 70062569375 112100111000 140125138750 224200222000 280250277500 560500555000 1121001110000