Search a number
-
+
1024131100 = 225269114821
BaseRepresentation
bin111101000010110…
…000000000011100
32122101002020202111
4331002300000130
54044134143400
6245342403404
734243653646
oct7502600034
92571066674
101024131100
11486105943
12246b90564
13134238a45
149a02d896
155ed9b3ba
hex3d0b001c

1024131100 has 36 divisors (see below), whose sum is σ = 2225730808. Its totient is φ = 409032000.

The previous prime is 1024131083. The next prime is 1024131127. The reversal of 1024131100 is 11314201.

It is a congruent number.

It is an unprimeable number.

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, 61690 + ... + 76510.

Almost surely, 21024131100 is an apocalyptic number.

1024131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024131100 is an abundant number, since it is smaller than the sum of its proper divisors (1201599708).

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

1024131100 is a wasteful number, since it uses less digits than its factorization.

1024131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15526 (or 15519 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1024131100 is about 32002.0483719402. The cubic root of 1024131100 is about 1007.9798525724.

Adding to 1024131100 its reverse (11314201), we get a palindrome (1035445301).

The spelling of 1024131100 in words is "one billion, twenty-four million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 691 1382 2764 3455 6910 13820 14821 17275 29642 34550 59284 69100 74105 148210 296420 370525 741050 1482100 10241311 20482622 40965244 51206555 102413110 204826220 256032775 512065550 1024131100