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2124543132 = 2232297012903
BaseRepresentation
bin111111010100001…
…1111010010011100
312111001200222021200
41332220133102130
513322340340012
6550452155500
7103435214205
oct17650372234
95431628250
102124543132
119a0281778
124b3608b90
1327b20211a
141622385ac
15c67b43dc
hex7ea1f49c

2124543132 has 72 divisors (see below), whose sum is σ = 5565399840. Its totient is φ = 682550400.

The previous prime is 2124543131. The next prime is 2124543139. The reversal of 2124543132 is 2313454212.

It is a junction number, because it is equal to n+sod(n) for n = 2124543096 and 2124543105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124543131) 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, 730393 + ... + 733295.

It is an arithmetic number, because the mean of its divisors is an integer number (77297220).

Almost surely, 22124543132 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 2124543132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782699920).

2124543132 is an abundant number, since it is smaller than the sum of its proper divisors (3440856708).

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

2124543132 is a wasteful number, since it uses less digits than its factorization.

2124543132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3638 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2124543132 is about 46092.7665908654. The cubic root of 2124543132 is about 1285.5486525467.

Adding to 2124543132 its reverse (2313454212), we get a palindrome (4437997344).

The spelling of 2124543132 in words is "two billion, one hundred twenty-four million, five hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 701 1044 1402 2103 2804 2903 4206 5806 6309 8412 8709 11612 12618 17418 20329 25236 26127 34836 40658 52254 60987 81316 84187 104508 121974 168374 182961 243948 252561 336748 365922 505122 731844 757683 1010244 1515366 2035003 3030732 4070006 6105009 8140012 12210018 18315027 24420036 36630054 59015087 73260108 118030174 177045261 236060348 354090522 531135783 708181044 1062271566 2124543132