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2120135430 = 235724793011
BaseRepresentation
bin111111001011110…
…1011001100000110
312110202102001001110
41332113223030012
513320223313210
6550213505450
7103352565600
oct17627531406
95422361043
102120135430
11998841146
124b2042286
1327a31ab0a
1416180c170
15c61e3420
hex7e5eb306

2120135430 has 96 divisors (see below), whose sum is σ = 5933399040. Its totient is φ = 483430080.

The previous prime is 2120135389. The next prime is 2120135491. The reversal of 2120135430 is 345310212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2120135397 and 2120135406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702625 + ... + 705635.

It is an arithmetic number, because the mean of its divisors is an integer number (61806240).

Almost surely, 22120135430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120135430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966699520).

2120135430 is an abundant number, since it is smaller than the sum of its proper divisors (3813263610).

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

2120135430 is a wasteful number, since it uses less digits than its factorization.

2120135430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2120135430 is about 46044.9283852196. The cubic root of 2120135430 is about 1284.6590121088.

Adding to 2120135430 its reverse (345310212), we get a palindrome (2465445642).

It can be divided in two parts, 2120 and 135430, that added together give a triangular number (137550 = T524).

The spelling of 2120135430 in words is "two billion, one hundred twenty million, one hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 479 490 735 958 1437 1470 2395 2874 3011 3353 4790 6022 6706 7185 9033 10059 14370 15055 16765 18066 20118 21077 23471 30110 33530 42154 45165 46942 50295 63231 70413 90330 100590 105385 117355 126462 140826 147539 210770 234710 295078 316155 352065 442617 632310 704130 737695 885234 1442269 1475390 2213085 2884538 4326807 4426170 7211345 8653614 10095883 14422690 20191766 21634035 30287649 43268070 50479415 60575298 70671181 100958830 141342362 151438245 212013543 302876490 353355905 424027086 706711810 1060067715 2120135430