Search a number
-
+
1121120100 = 2232521245689
BaseRepresentation
bin100001011010010…
…1110111101100100
32220010120210122200
41002310232331210
54244001320400
6303125254500
736532235502
oct10264567544
92803523580
101121120100
11525930141
12273564430
1314b366b99
14a8c79672
1568658b00
hex42d2ef64

1121120100 has 54 divisors (see below), whose sum is σ = 3514091490. Its totient is φ = 298965120.

The previous prime is 1121120071. The next prime is 1121120107. The reversal of 1121120100 is 10211211.

It is a happy number.

1121120100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 88397604 + 1032722496 = 9402^2 + 32136^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1121120107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 621945 + ... + 623744.

Almost surely, 21121120100 is an apocalyptic number.

1121120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121120100 is an abundant number, since it is smaller than the sum of its proper divisors (2392971390).

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

1121120100 is a wasteful number, since it uses less digits than its factorization.

1121120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245709 (or 1245699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1121120100 is about 33483.1315739732. The cubic root of 1121120100 is about 1038.8449022061.

Adding to 1121120100 its reverse (10211211), we get a palindrome (1131331311).

The spelling of 1121120100 in words is "one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1245689 2491378 3737067 4982756 6228445 7474134 11211201 12456890 14948268 18685335 22422402 24913780 31142225 37370670 44844804 56056005 62284450 74741340 93426675 112112010 124568900 186853350 224224020 280280025 373706700 560560050 1121120100