Search a number
-
+
2129543130 = 2351121345127
BaseRepresentation
bin111111011101110…
…0011111111011010
312111102002222222210
41332323203333122
513330130340010
6551151255550
7103525550361
oct17673437732
95442088883
102129543130
119a3087300
124b521a5b6
1327c262bc0
14162b7a7d8
15c6e50b20
hex7eee3fda

2129543130 has 96 divisors (see below), whose sum is σ = 6050040192. Its totient is φ = 476530560.

The previous prime is 2129543099. The next prime is 2129543153. The reversal of 2129543130 is 313459212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24627 + ... + 69753.

It is an arithmetic number, because the mean of its divisors is an integer number (63021252).

Almost surely, 22129543130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129543130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025020096).

2129543130 is an abundant number, since it is smaller than the sum of its proper divisors (3920497062).

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

2129543130 is a wasteful number, since it uses less digits than its factorization.

2129543130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45172 (or 45161 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2129543130 is about 46146.9731401746. The cubic root of 2129543130 is about 1286.5563523089.

The spelling of 2129543130 in words is "two billion, one hundred twenty-nine million, five hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 1210 1430 1573 1815 2145 3146 3630 4290 4719 7865 9438 15730 23595 45127 47190 90254 135381 225635 270762 451270 496397 586651 676905 992794 1173302 1353810 1489191 1759953 2481985 2933255 2978382 3519906 4963970 5460367 5866510 6453161 7445955 8799765 10920734 12906322 14891910 16381101 17599530 19359483 27301835 32265805 32762202 38718966 54603670 64531610 70984771 81905505 96797415 141969542 163811010 193594830 212954313 354923855 425908626 709847710 1064771565 2129543130