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2125344520 = 2351353671151
BaseRepresentation
bin111111010101110…
…0010111100001000
312111010012200120201
41332223202330020
513323042011040
6550521301544
7103445062465
oct17653427410
95433180521
102125344520
119a0779882
124b39348b4
1327b422b10
141623a666c
15c68c1a9a
hex7eae2f08

2125344520 has 128 divisors (see below), whose sum is σ = 5329981440. Its totient is φ = 757785600.

The previous prime is 2125344517. The next prime is 2125344527. The reversal of 2125344520 is 254435212.

It is not an unprimeable number, because it can be changed into a prime (2125344527) 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, 1845945 + ... + 1847095.

It is an arithmetic number, because the mean of its divisors is an integer number (41640480).

Almost surely, 22125344520 is an apocalyptic number.

2125344520 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 2125344520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664990720).

2125344520 is an abundant number, since it is smaller than the sum of its proper divisors (3204636920).

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

2125344520 is a wasteful number, since it uses less digits than its factorization.

2125344520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2125344520 is about 46101.4589790822. The cubic root of 2125344520 is about 1285.7102706283.

Adding to 2125344520 its reverse (254435212), we get a palindrome (2379779732).

The spelling of 2125344520 in words is "two billion, one hundred twenty-five million, three hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 67 104 106 130 134 212 260 265 268 335 424 520 530 536 670 689 871 1060 1151 1340 1378 1742 2120 2302 2680 2756 3445 3484 3551 4355 4604 5512 5755 6890 6968 7102 8710 9208 11510 13780 14204 14963 17420 17755 23020 27560 28408 29926 34840 35510 46040 46163 59852 61003 71020 74815 77117 92326 119704 122006 142040 149630 154234 184652 230815 244012 299260 305015 308468 369304 385585 461630 488024 598520 610030 616936 771170 793039 923260 1002521 1220060 1542340 1586078 1846520 2005042 2440120 3084680 3172156 3965195 4010084 4087201 5012605 6344312 7930390 8020168 8174402 10025210 15860780 16348804 20050420 20436005 31721560 32697608 40100840 40872010 53133613 81744020 106267226 163488040 212534452 265668065 425068904 531336130 1062672260 2125344520