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2125103240 = 2351310937493
BaseRepresentation
bin111111010101010…
…1000000010001000
312111002202102121102
41332222220002020
513323011300430
6550512200532
7103443036161
oct17652500210
95432672542
102125103240
119a0624577
124b3839148
1327b36a050
14162342768
15c6875345
hex7eaa8088

2125103240 has 64 divisors (see below), whose sum is σ = 5196668400. Its totient is φ = 777434112.

The previous prime is 2125103237. The next prime is 2125103243. The reversal of 2125103240 is 423015212.

It is an interprime number because it is at equal distance from previous prime (2125103237) and next prime (2125103243).

It can be written as a sum of positive squares in 8 ways, for example, as 457360996 + 1667742244 = 21386^2 + 40838^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2125103243) 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 15 ways as a sum of consecutive naturals, for example, 37934 + ... + 75426.

Almost surely, 22125103240 is an apocalyptic number.

2125103240 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 2125103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598334200).

2125103240 is an abundant number, since it is smaller than the sum of its proper divisors (3071565160).

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

2125103240 is a wasteful number, since it uses less digits than its factorization.

2125103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37626 (or 37622 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2125103240 is about 46098.8420678871. The cubic root of 2125103240 is about 1285.6616153144.

Adding to 2125103240 its reverse (423015212), we get a palindrome (2548118452).

The spelling of 2125103240 in words is "two billion, one hundred twenty-five million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 109 130 218 260 436 520 545 872 1090 1417 2180 2834 4360 5668 7085 11336 14170 28340 37493 56680 74986 149972 187465 299944 374930 487409 749860 974818 1499720 1949636 2437045 3899272 4086737 4874090 8173474 9748180 16346948 19496360 20433685 32693896 40867370 53127581 81734740 106255162 163469480 212510324 265637905 425020648 531275810 1062551620 2125103240