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2125403000 = 235372111439
BaseRepresentation
bin111111010101111…
…0001001101111000
312111010022122210122
41332223301031320
513323100344000
6550522432412
7103445425130
oct17653611570
95433278718
102125403000
119a0809806
124b3962708
1327b443616
141623bdac0
15c68d4085
hex7eaf1378

2125403000 has 128 divisors (see below), whose sum is σ = 5714841600. Its totient is φ = 724752000.

The previous prime is 2125402969. The next prime is 2125403003. The reversal of 2125403000 is 3045212.

It is a self number, because there is not a number n which added to its sum of digits gives 2125403000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125403003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476281 + ... + 1477719.

It is an arithmetic number, because the mean of its divisors is an integer number (44647200).

Almost surely, 22125403000 is an apocalyptic number.

2125403000 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 2125403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857420800).

2125403000 is an abundant number, since it is smaller than the sum of its proper divisors (3589438600).

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

2125403000 is a wasteful number, since it uses less digits than its factorization.

2125403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2125403000 is about 46102.0932279653. The cubic root of 2125403000 is about 1285.7220628571.

Adding to 2125403000 its reverse (3045212), we get a palindrome (2128448212).

The spelling of 2125403000 in words is "two billion, one hundred twenty-five million, four hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 211 250 280 350 422 500 700 844 875 1000 1055 1400 1439 1477 1688 1750 2110 2878 2954 3500 4220 5275 5756 5908 7000 7195 7385 8440 10073 10550 11512 11816 14390 14770 20146 21100 26375 28780 29540 35975 36925 40292 42200 50365 52750 57560 59080 71950 73850 80584 100730 105500 143900 147700 179875 184625 201460 211000 251825 287800 295400 303629 359750 369250 402920 503650 607258 719500 738500 1007300 1214516 1259125 1439000 1477000 1518145 2014600 2125403 2429032 2518250 3036290 4250806 5036500 6072580 7590725 8501612 10073000 10627015 12145160 15181450 17003224 21254030 30362900 37953625 42508060 53135075 60725800 75907250 85016120 106270150 151814500 212540300 265675375 303629000 425080600 531350750 1062701500 2125403000