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2124241120 = 25517780971
BaseRepresentation
bin111111010011101…
…0101100011100000
312111001010122000001
41332213111203200
513322301203440
6550441505344
7103432515541
oct17647254340
95431118001
102124241120
119a0095881
124b34a2254
1327b127811
1416219a4c8
15c6754b9a
hex7e9d58e0

2124241120 has 48 divisors (see below), whose sum is σ = 5313733488. Its totient is φ = 799713280.

The previous prime is 2124241109. The next prime is 2124241139. The reversal of 2124241120 is 211424212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387766 + ... + 393205.

It is an arithmetic number, because the mean of its divisors is an integer number (110702781).

Almost surely, 22124241120 is an apocalyptic number.

2124241120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124241120 is an abundant number, since it is smaller than the sum of its proper divisors (3189492368).

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

2124241120 is a wasteful number, since it uses less digits than its factorization.

2124241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781003 (or 780995 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2124241120 is about 46089.4903421594. The cubic root of 2124241120 is about 1285.4877344270.

Adding to 2124241120 its reverse (211424212), we get a palindrome (2335665332).

The spelling of 2124241120 in words is "two billion, one hundred twenty-four million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 780971 1561942 3123884 3904855 6247768 7809710 12495536 13276507 15619420 24991072 26553014 31238840 53106028 62477680 66382535 106212056 124955360 132765070 212424112 265530140 424848224 531060280 1062120560 2124241120