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2130231132 = 22321919715809
BaseRepresentation
bin111111011111000…
…1011111101011100
312111110101221202100
41332332023331130
513330314344012
6551214125100
7103534444251
oct17676137534
95443357670
102130231132
119a35071a7
124b54b0790
1327c4440c3
14162cb9428
15c70398dc
hex7ef8bf5c

2130231132 has 72 divisors (see below), whose sum is σ = 5697291600. Its totient is φ = 669247488.

The previous prime is 2130231091. The next prime is 2130231133. The reversal of 2130231132 is 2311320312.

2130231132 is a `hidden beast` number, since 21 + 302 + 311 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130231133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126844 + ... + 142652.

It is an arithmetic number, because the mean of its divisors is an integer number (79129050).

Almost surely, 22130231132 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 2130231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848645800).

2130231132 is an abundant number, since it is smaller than the sum of its proper divisors (3567060468).

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

2130231132 is a wasteful number, since it uses less digits than its factorization.

2130231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16035 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2130231132 is about 46154.4270032681. The cubic root of 2130231132 is about 1286.6948887591.

Adding to 2130231132 its reverse (2311320312), we get a palindrome (4441551444).

The spelling of 2130231132 in words is "two billion, one hundred thirty million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 197 228 342 394 591 684 788 1182 1773 2364 3546 3743 7092 7486 11229 14972 15809 22458 31618 33687 44916 47427 63236 67374 94854 134748 142281 189708 284562 300371 569124 600742 901113 1201484 1802226 2703339 3114373 3604452 5406678 6228746 9343119 10813356 12457492 18686238 28029357 37372476 56058714 59173087 112117428 118346174 177519261 236692348 355038522 532557783 710077044 1065115566 2130231132