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125341000 = 23531773101
BaseRepresentation
bin1110111100010…
…00110101001000
322201211222112021
413132020311020
5224041403000
620234254224
73051244441
oct736106510
9281758467
10125341000
116482a604
1235b87374
131cc76c95
141290a2c8
15b00d11a
hex7788d48

125341000 has 128 divisors (see below), whose sum is σ = 317921760. Its totient is φ = 46080000.

The previous prime is 125340997. The next prime is 125341003. The reversal of 125341000 is 143521.

It is an interprime number because it is at equal distance from previous prime (125340997) and next prime (125341003).

It can be written as a sum of positive squares in 16 ways, for example, as 8398404 + 116942596 = 2898^2 + 10814^2 .

It is not an unprimeable number, because it can be changed into a prime (125341003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240950 + ... + 1241050.

Almost surely, 2125341000 is an apocalyptic number.

125341000 is a gapful number since it is divisible by the number (10) 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 125341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158960880).

125341000 is an abundant number, since it is smaller than the sum of its proper divisors (192580760).

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

125341000 is a wasteful number, since it uses less digits than its factorization.

125341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 125341000 is about 11195.5794847788. The cubic root of 125341000 is about 500.4542538486.

Adding to 125341000 its reverse (143521), we get a palindrome (125484521).

The spelling of 125341000 in words is "one hundred twenty-five million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 73 85 100 101 125 136 146 170 200 202 250 292 340 365 404 425 500 505 584 680 730 808 850 1000 1010 1241 1460 1700 1717 1825 2020 2125 2482 2525 2920 3400 3434 3650 4040 4250 4964 5050 6205 6868 7300 7373 8500 8585 9125 9928 10100 12410 12625 13736 14600 14746 17000 17170 18250 20200 24820 25250 29492 31025 34340 36500 36865 42925 49640 50500 58984 62050 68680 73000 73730 85850 101000 124100 125341 147460 155125 171700 184325 214625 248200 250682 294920 310250 343400 368650 429250 501364 620500 626705 737300 858500 921625 1002728 1241000 1253410 1474600 1717000 1843250 2506820 3133525 3686500 5013640 6267050 7373000 12534100 15667625 25068200 31335250 62670500 125341000