Search a number
-
+
1041124100 = 225276113681
BaseRepresentation
bin111110000011100…
…100101100000100
32200120001120202212
4332003210230010
54113011432400
6251150522552
734541260142
oct7603445404
92616046685
101041124100
11494761a45
12250806458
13137908583
149c3b4592
1561606335
hex3e0e4b04

1041124100 has 36 divisors (see below), whose sum is σ = 2262373428. Its totient is φ = 415872000.

The previous prime is 1041124087. The next prime is 1041124109. The reversal of 1041124100 is 14211401.

It can be written as a sum of positive squares in 6 ways, for example, as 61183684 + 979940416 = 7822^2 + 31304^2 .

It is not an unprimeable number, because it can be changed into a prime (1041124109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 69260 + ... + 82940.

Almost surely, 21041124100 is an apocalyptic number.

1041124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041124100 is an abundant number, since it is smaller than the sum of its proper divisors (1221249328).

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

1041124100 is a wasteful number, since it uses less digits than its factorization.

1041124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456 (or 14449 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1041124100 is about 32266.4547169347. The cubic root of 1041124100 is about 1013.5243020260.

Adding to 1041124100 its reverse (14211401), we get a palindrome (1055335501).

The spelling of 1041124100 in words is "one billion, forty-one million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 761 1522 3044 3805 7610 13681 15220 19025 27362 38050 54724 68405 76100 136810 273620 342025 684050 1368100 10411241 20822482 41644964 52056205 104112410 208224820 260281025 520562050 1041124100