Search a number
-
+
1025042123 = 7571859
BaseRepresentation
bin111101000110001…
…110011011001011
32122102210112110002
4331012032123023
54044402321443
6245414113215
734254500000
oct7506163313
92572715402
101025042123
11486678356
1224734b80b
13134497601
149a1c98a7
155eecb2b8
hex3d18e6cb

1025042123 has 24 divisors (see below), whose sum is σ = 1214127360. Its totient is φ = 865224360.

The previous prime is 1025042113. The next prime is 1025042141. The reversal of 1025042123 is 3212405201.

It is not a de Polignac number, because 1025042123 - 26 = 1025042059 is a prime.

It is a super-2 number, since 2×10250421232 = 2101422707848694258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1025042095 and 1025042104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025042113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192868 + ... + 1193726.

It is an arithmetic number, because the mean of its divisors is an integer number (50588640).

Almost surely, 21025042123 is an apocalyptic number.

1025042123 is a deficient number, since it is larger than the sum of its proper divisors (189085237).

1025042123 is an frugal number, since it uses more digits than its factorization.

1025042123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1025042123 is about 32016.2790311429. The cubic root of 1025042123 is about 1008.2786491726.

Adding to 1025042123 its reverse (3212405201), we get a palindrome (4237447324).

The spelling of 1025042123 in words is "one billion, twenty-five million, forty-two thousand, one hundred twenty-three".

Divisors: 1 7 49 71 343 497 859 2401 3479 6013 16807 24353 42091 60989 170471 294637 426923 1193297 2062459 2988461 14437213 20919227 146434589 1025042123