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1023442125 = 353193792
BaseRepresentation
bin111101000000000…
…111110011001101
32122022210020122220
4331000013303031
54044000122000
6245315525553
734235054166
oct7500076315
92568706586
101023442125
11485785242
122468b98b9
13134057274
1499cd076d
155ecb21a0
hex3d007ccd

1023442125 has 48 divisors (see below), whose sum is σ = 1797382080. Its totient is φ = 515743200.

The previous prime is 1023442117. The next prime is 1023442139. The reversal of 1023442125 is 5212443201.

1023442125 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 1023442125 - 23 = 1023442117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023442095 and 1023442104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2700186 + ... + 2700564.

It is an arithmetic number, because the mean of its divisors is an integer number (37445460).

Almost surely, 21023442125 is an apocalyptic number.

1023442125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1023442125 is a deficient number, since it is larger than the sum of its proper divisors (773939955).

1023442125 is an frugal number, since it uses more digits than its factorization.

1023442125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1023442125 is about 31991.2820155742. The cubic root of 1023442125 is about 1007.7537654010.

Adding to 1023442125 its reverse (5212443201), we get a palindrome (6235885326).

The spelling of 1023442125 in words is "one billion, twenty-three million, four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 285 375 379 475 1137 1425 1895 2375 5685 7125 7201 9475 21603 28425 36005 47375 108015 142125 143641 180025 430923 540075 718205 900125 2154615 2700375 2729179 3591025 8187537 10773075 13645895 17955125 40937685 53865375 68229475 204688425 341147375 1023442125