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2120126430 = 2352315719571
BaseRepresentation
bin111111001011110…
…1000111111011110
312110202101120201010
41332113220333132
513320223021210
6550213400050
7103352530422
oct17627507736
95422346633
102120126430
11998835404
124b2039026
1327a3169a6
14161808b82
15c61e0920
hex7e5e8fde

2120126430 has 64 divisors (see below), whose sum is σ = 5343625728. Its totient is φ = 537313920.

The previous prime is 2120126429. The next prime is 2120126467. The reversal of 2120126430 is 346210212.

It is a junction number, because it is equal to n+sod(n) for n = 2120126397 and 2120126406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98545 + ... + 118115.

It is an arithmetic number, because the mean of its divisors is an integer number (83494152).

Almost surely, 22120126430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120126430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671812864).

2120126430 is an abundant number, since it is smaller than the sum of its proper divisors (3223499298).

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

2120126430 is a wasteful number, since it uses less digits than its factorization.

2120126430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19761.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2120126430 is about 46044.8306544828. The cubic root of 2120126430 is about 1284.6571943087.

Adding to 2120126430 its reverse (346210212), we get a palindrome (2466336642).

The spelling of 2120126430 in words is "two billion, one hundred twenty million, one hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 157 230 314 345 471 690 785 942 1570 2355 3611 4710 7222 10833 18055 19571 21666 36110 39142 54165 58713 97855 108330 117426 195710 293565 450133 587130 900266 1350399 2250665 2700798 3072647 4501330 6145294 6751995 9217941 13503990 15363235 18435882 30726470 46089705 70670881 92179410 141341762 212012643 353354405 424025286 706708810 1060063215 2120126430