Search a number
-
+
11020414125 = 353715127803
BaseRepresentation
bin10100100001101111…
…00010110010101101
31001110000212001011010
422100313202302231
5140032211223000
65021313415433
7540044655150
oct122067426255
931400761133
1011020414125
114745811276
12217686a579
131068224406
147678a5c97
15447772d50
hex290de2cad

11020414125 has 64 divisors (see below), whose sum is σ = 21097230336. Its totient is φ = 5004360000.

The previous prime is 11020414117. The next prime is 11020414129. The reversal of 11020414125 is 52141402011.

11020414125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11020414125 - 23 = 11020414117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020414129) 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 63 ways as a sum of consecutive naturals, for example, 382474 + ... + 410276.

It is an arithmetic number, because the mean of its divisors is an integer number (329644224).

Almost surely, 211020414125 is an apocalyptic number.

11020414125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11020414125 is a deficient number, since it is larger than the sum of its proper divisors (10076816211).

11020414125 is a wasteful number, since it uses less digits than its factorization.

11020414125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27979 (or 27969 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11020414125 its reverse (52141402011), we get a palindrome (63161816136).

The spelling of 11020414125 in words is "eleven billion, twenty million, four hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 151 175 375 453 525 755 875 1057 2265 2625 3171 3775 5285 11325 15855 18875 26425 27803 56625 79275 83409 132125 139015 194621 396375 417045 583863 695075 973105 2085225 2919315 3475375 4198253 4865525 10426125 12594759 14596575 20991265 24327625 29387771 62973795 72982875 88163313 104956325 146938855 314868975 440816565 524781625 734694275 1574344875 2204082825 3673471375 11020414125