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2135120052 = 2231353281919
BaseRepresentation
bin111111101000011…
…0101100010110100
312111210121100002110
41333100311202310
513333042320202
6551511011020
7103624135542
oct17720654264
95453540073
102135120052
119a624632a
124b7069a70
13280466460
141637ccd92
15c76a326c
hex7f4358b4

2135120052 has 96 divisors (see below), whose sum is σ = 5491825920. Its totient is φ = 641571840.

The previous prime is 2135120047. The next prime is 2135120069. The reversal of 2135120052 is 2500215312.

It is a congruent number.

It is an unprimeable number.

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, 2322849 + ... + 2323767.

It is an arithmetic number, because the mean of its divisors is an integer number (57206520).

Almost surely, 22135120052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135120052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745912960).

2135120052 is an abundant number, since it is smaller than the sum of its proper divisors (3356705868).

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

2135120052 is a wasteful number, since it uses less digits than its factorization.

2135120052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2135120052 is about 46207.3592839928. The cubic root of 2135120052 is about 1287.6784662528.

Adding to 2135120052 its reverse (2500215312), we get a palindrome (4635335364).

The spelling of 2135120052 in words is "two billion, one hundred thirty-five million, one hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 281 318 562 636 689 843 919 1124 1378 1686 1838 2067 2756 2757 3372 3653 3676 4134 5514 7306 8268 10959 11028 11947 14612 14893 21918 23894 29786 35841 43836 44679 47788 48707 59572 71682 89358 97414 143364 146121 178716 193609 194828 258239 292242 387218 516478 580827 584484 633191 774436 774717 1032956 1161654 1266382 1549434 1899573 2323308 2532764 3098868 3357107 3799146 6714214 7598292 10071321 13428428 13686667 20142642 27373334 40285284 41060001 54746668 82120002 164240004 177926671 355853342 533780013 711706684 1067560026 2135120052