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2124130032 = 243247313849
BaseRepresentation
bin111111010011011…
…1010011011110000
312111000220222121200
41332212322123300
513322234130112
6550435251200
7103431543633
oct17646723360
95430828550
102124130032
119a001a372
124b3449b00
1327b0b909b
1416216bc1a
15c6731cdc
hex7e9ba6f0

2124130032 has 60 divisors (see below), whose sum is σ = 6071114400. Its totient is φ = 692976384.

The previous prime is 2124130007. The next prime is 2124130049. The reversal of 2124130032 is 2300314212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2124129987 and 2124130014.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 150157 + ... + 163692.

It is an arithmetic number, because the mean of its divisors is an integer number (101185240).

Almost surely, 22124130032 is an apocalyptic number.

It is an amenable number.

2124130032 is an abundant number, since it is smaller than the sum of its proper divisors (3946984368).

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

2124130032 is a wasteful number, since it uses less digits than its factorization.

2124130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313910 (or 313901 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2124130032 is about 46088.2851926604. The cubic root of 2124130032 is about 1285.4653256792.

Adding to 2124130032 its reverse (2300314212), we get a palindrome (4424444244).

The spelling of 2124130032 in words is "two billion, one hundred twenty-four million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 313849 627698 941547 1255396 1883094 2510792 2824641 3766188 5021584 5649282 7532376 11298564 14750903 15064752 22597128 29501806 44252709 45194256 59003612 88505418 118007224 132758127 177010836 236014448 265516254 354021672 531032508 708043344 1062065016 2124130032