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2025123000 = 233532412801
BaseRepresentation
bin111100010110100…
…1110110010111000
312020010121220111120
41320231032302320
513121412414000
6532541225240
7101120155455
oct17055166270
95203556446
102025123000
1194a14697a
12486262220
13263732544
14152d5882c
15bcbc66a0
hex78b4ecb8

2025123000 has 128 divisors (see below), whose sum is σ = 6346866240. Its totient is φ = 537600000.

The previous prime is 2025122993. The next prime is 2025123007. The reversal of 2025123000 is 3215202.

It is an interprime number because it is at equal distance from previous prime (2025122993) and next prime (2025123007).

It is a super-2 number, since 2×20251230002 = 8202246330258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025123007) 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 31 ways as a sum of consecutive naturals, for example, 721600 + ... + 724400.

Almost surely, 22025123000 is an apocalyptic number.

2025123000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173433120).

2025123000 is an abundant number, since it is smaller than the sum of its proper divisors (4321743240).

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

2025123000 is a wasteful number, since it uses less digits than its factorization.

2025123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2025123000 is about 45001.3666459142. The cubic root of 2025123000 is about 1265.1746127964.

Adding to 2025123000 its reverse (3215202), we get a palindrome (2028338202).

The spelling of 2025123000 in words is "two billion, twenty-five million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 241 250 300 375 482 500 600 723 750 964 1000 1205 1446 1500 1928 2410 2801 2892 3000 3615 4820 5602 5784 6025 7230 8403 9640 11204 12050 14005 14460 16806 18075 22408 24100 28010 28920 30125 33612 36150 42015 48200 56020 60250 67224 70025 72300 84030 90375 112040 120500 140050 144600 168060 180750 210075 241000 280100 336120 350125 361500 420150 560200 675041 700250 723000 840300 1050375 1350082 1400500 1680600 2025123 2100750 2700164 2801000 3375205 4050246 4201500 5400328 6750410 8100492 8403000 10125615 13500820 16200984 16876025 20251230 27001640 33752050 40502460 50628075 67504100 81004920 84380125 101256150 135008200 168760250 202512300 253140375 337520500 405024600 506280750 675041000 1012561500 2025123000