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1023301125 = 325371111813
BaseRepresentation
bin111100111111100…
…101011000000101
32122022112002020200
4330333211120011
54043431114000
6245312521113
734233626130
oct7477453005
92568462220
101023301125
11485699310
12246850199
13134008032
1499c95217
155ec85500
hex3cfe5605

1023301125 has 96 divisors (see below), whose sum is σ = 2300044032. Its totient is φ = 425232000.

The previous prime is 1023301109. The next prime is 1023301151. The reversal of 1023301125 is 5211033201.

It is not a de Polignac number, because 1023301125 - 24 = 1023301109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023301098 and 1023301107.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 80719 + ... + 92531.

It is an arithmetic number, because the mean of its divisors is an integer number (23958792).

Almost surely, 21023301125 is an apocalyptic number.

1023301125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1023301125 is an abundant number, since it is smaller than the sum of its proper divisors (1276742907).

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

1023301125 is a wasteful number, since it uses less digits than its factorization.

1023301125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11839 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1023301125 is about 31989.0782142906. The cubic root of 1023301125 is about 1007.7074837393.

Adding to 1023301125 its reverse (5211033201), we get a palindrome (6234334326).

The spelling of 1023301125 in words is "one billion, twenty-three million, three hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 125 165 175 225 231 275 315 375 385 495 525 693 825 875 1125 1155 1375 1575 1925 2475 2625 3465 4125 5775 7875 9625 11813 12375 17325 28875 35439 59065 82691 86625 106317 129943 177195 248073 295325 389829 413455 531585 649715 744219 885975 909601 1169487 1240365 1476625 1949145 2067275 2657925 2728803 3248575 3721095 4429875 4548005 5847435 6201825 8186409 9745725 10336375 13289625 13644015 16242875 18605475 22740025 29237175 31009125 40932045 48728625 68220075 93027375 113700125 146185875 204660225 341100375 1023301125