Search a number
-
+
1120344100 = 225229338237
BaseRepresentation
bin100001011000111…
…0001100000100100
32220002010101011221
41002301301200210
54243302002400
6303100510124
736522524221
oct10261614044
92802111157
101120344100
11525450117
1227324b344
1314b154905
14a8b16948
1568553c1a
hex42c71824

1120344100 has 36 divisors (see below), whose sum is σ = 2439507924. Its totient is φ = 446596480.

The previous prime is 1120344041. The next prime is 1120344107. The reversal of 1120344100 is 14430211.

It can be written as a sum of positive squares in 6 ways, for example, as 21288996 + 1099055104 = 4614^2 + 33152^2 .

It is a super-4 number, since 4×11203441004 (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1120344107) by changing a digit.

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, 10182 + ... + 48418.

It is an arithmetic number, because the mean of its divisors is an integer number (67764109).

Almost surely, 21120344100 is an apocalyptic number.

1120344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120344100 is an abundant number, since it is smaller than the sum of its proper divisors (1319163824).

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

1120344100 is a wasteful number, since it uses less digits than its factorization.

1120344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38544 (or 38537 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1120344100 is about 33471.5416436112. The cubic root of 1120344100 is about 1038.6051628863.

Adding to 1120344100 its reverse (14430211), we get a palindrome (1134774311).

The spelling of 1120344100 in words is "one billion, one hundred twenty million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1172 1465 2930 5860 7325 14650 29300 38237 76474 152948 191185 382370 764740 955925 1911850 3823700 11203441 22406882 44813764 56017205 112034410 224068820 280086025 560172050 1120344100