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2130421132 = 2271910936739
BaseRepresentation
bin111111011111011…
…1010010110001100
312111110202121101101
41332332322112030
513330341434012
6551222152444
7103536165220
oct17676722614
95443677341
102130421132
119a3626a24
124b5582724
1327c4ac728
14162d28780
15c7075d57
hex7efba58c

2130421132 has 48 divisors (see below), whose sum is σ = 4526368000. Its totient is φ = 857024064.

The previous prime is 2130421109. The next prime is 2130421141. The reversal of 2130421132 is 2311240312.

It is a happy number.

It is a super-2 number, since 2×21304211322 = 9077388399344322848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39619 + ... + 76357.

Almost surely, 22130421132 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 2130421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263184000).

2130421132 is an abundant number, since it is smaller than the sum of its proper divisors (2395946868).

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

2130421132 is a wasteful number, since it uses less digits than its factorization.

2130421132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36878 (or 36876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2130421132 is about 46156.4852648033. The cubic root of 2130421132 is about 1286.7331420042.

Adding to 2130421132 its reverse (2311240312), we get a palindrome (4441661444).

It can be divided in two parts, 21304 and 21132, that added together give a square (42436 = 2062).

The spelling of 2130421132 in words is "two billion, one hundred thirty million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 109 133 218 266 436 532 763 1526 2071 3052 4142 8284 14497 28994 36739 57988 73478 146956 257173 514346 698041 1028692 1396082 2792164 4004551 4886287 8009102 9772574 16018204 19545148 28031857 56063714 76086469 112127428 152172938 304345876 532605283 1065210566 2130421132