Search a number
-
+
1103412420 = 22325114771167
BaseRepresentation
bin100000111000100…
…1011110011000100
32211220021011021200
41001301023303010
54224433144140
6301253542500
736225564555
oct10161136304
92756234250
101103412420
115169360a0
12269644a30
131477a6c76
14a678a32c
1566d0c030
hex41c4bcc4

1103412420 has 288 divisors, whose sum is σ = 3804143616. Its totient is φ = 256569600.

The previous prime is 1103412407. The next prime is 1103412433. The reversal of 1103412420 is 242143011.

It is an interprime number because it is at equal distance from previous prime (1103412407) and next prime (1103412433).

It is a super-2 number, since 2×11034124202 = 2435037937220512800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1103412393 and 1103412402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6607177 + ... + 6607343.

It is an arithmetic number, because the mean of its divisors is an integer number (13208832).

Almost surely, 21103412420 is an apocalyptic number.

1103412420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902071808).

1103412420 is an abundant number, since it is smaller than the sum of its proper divisors (2700731196).

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

1103412420 is a wasteful number, since it uses less digits than its factorization.

1103412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1103412420 is about 33217.6522349187. The cubic root of 1103412420 is about 1033.3464600021.

Adding to 1103412420 its reverse (242143011), we get a palindrome (1345555431).

The spelling of 1103412420 in words is "one billion, one hundred three million, four hundred twelve thousand, four hundred twenty".