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2132234130 = 235132676277
BaseRepresentation
bin111111100010111…
…0100111110010010
312111121011201100110
41333011310332102
513331322443010
6551325102150
7103560456015
oct17705647622
95447151313
102132234130
119a4655074
124b60b7956
1327c995a00
1416327b37c
15c72d3120
hex7f174f92

2132234130 has 96 divisors (see below), whose sum is σ = 5624887104. Its totient is φ = 516941568.

The previous prime is 2132234107. The next prime is 2132234141. The reversal of 2132234130 is 314322312.

It is a junction number, because it is equal to n+sod(n) for n = 2132234097 and 2132234106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336552 + ... + 342828.

It is an arithmetic number, because the mean of its divisors is an integer number (58592574).

Almost surely, 22132234130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132234130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812443552).

2132234130 is an abundant number, since it is smaller than the sum of its proper divisors (3492652974).

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

2132234130 is a wasteful number, since it uses less digits than its factorization.

2132234130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2132234130 is about 46176.1207768691. The cubic root of 2132234130 is about 1287.0980437501.

Adding to 2132234130 its reverse (314322312), we get a palindrome (2446556442).

The spelling of 2132234130 in words is "two billion, one hundred thirty-two million, two hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 169 195 201 335 338 390 402 507 670 845 871 1005 1014 1690 1742 2010 2535 2613 4355 5070 5226 6277 8710 11323 12554 13065 18831 22646 26130 31385 33969 37662 56615 62770 67938 81601 94155 113230 163202 169845 188310 244803 339690 408005 420559 489606 816010 841118 1060813 1224015 1261677 2102795 2121626 2448030 2523354 3182439 4205590 5304065 5467267 6308385 6364878 10608130 10934534 12616770 15912195 16401801 27336335 31824390 32803602 54672670 71074471 82009005 142148942 164018010 213223413 355372355 426446826 710744710 1066117065 2132234130