[go: up one dir, main page]

Search a number
-
+
1121210000 = 2454112121
BaseRepresentation
bin100001011010100…
…0100111010010000
32220010202100222022
41002311010322100
54244012210000
6303131231012
736533061551
oct10265047220
92803670868
101121210000
11525991739
122735a8468
1314b398a91
14a8ca0328
1568675585
hex42d44e90

1121210000 has 50 divisors (see below), whose sum is σ = 2714585742. Its totient is φ = 448480000.

The previous prime is 1121209987. The next prime is 1121210009. The reversal of 1121210000 is 121211.

It can be written as a sum of positive squares in 5 ways, for example, as 758231296 + 362978704 = 27536^2 + 19052^2 .

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

It is a super-2 number, since 2×11212100002 = 2514223728200000000, which contains 22 as substring.

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 1121210000.

It is not an unprimeable number, because it can be changed into a prime (1121210009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 46061 + ... + 66060.

Almost surely, 21121210000 is an apocalyptic number.

1121210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121210000 is an abundant number, since it is smaller than the sum of its proper divisors (1593375742).

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

1121210000 is an equidigital number, since it uses as much as digits as its factorization.

1121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112149 (or 112128 counting only the distinct ones).

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

The square root of 1121210000 is about 33484.4740140860. The cubic root of 1121210000 is about 1038.8726689787.

Adding to 1121210000 its reverse (121211), we get a palindrome (1121331211).

It can be divided in two parts, 11212 and 10000, that added together give a palindrome (21212).

The spelling of 1121210000 in words is "one billion, one hundred twenty-one million, two 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 112121 224242 448484 560605 896968 1121210 1793936 2242420 2803025 4484840 5606050 8969680 11212100 14015125 22424200 28030250 44848400 56060500 70075625 112121000 140151250 224242000 280302500 560605000 1121210000