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2124044010 = 23251119112921
BaseRepresentation
bin111111010011010…
…0101011011101010
312111000202121121200
41332212211123222
513322223402020
6550433345030
7103431035064
oct17646453352
95430677550
102124044010
1199aa70780
124b3408176
1327b088b9a
14162148734
15c6716590
hex7e9a56ea

2124044010 has 96 divisors (see below), whose sum is σ = 6341699520. Its totient is φ = 487814400.

The previous prime is 2124043981. The next prime is 2124044093. The reversal of 2124044010 is 104404212.

2124044010 is a `hidden beast` number, since 21 + 240 + 4 + 401 + 0 = 666.

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

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 37651 + ... + 75270.

It is an arithmetic number, because the mean of its divisors is an integer number (66059370).

Almost surely, 22124044010 is an apocalyptic number.

2124044010 is an abundant number, since it is smaller than the sum of its proper divisors (4217655510).

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

2124044010 is a wasteful number, since it uses less digits than its factorization.

2124044010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112964 (or 112961 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2124044010 is about 46087.3519525694. The cubic root of 2124044010 is about 1285.4479727254.

Adding to 2124044010 its reverse (104404212), we get a palindrome (2228448222).

The spelling of 2124044010 in words is "two billion, one hundred twenty-four million, forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 3135 3762 6270 9405 18810 112921 225842 338763 564605 677526 1016289 1129210 1242131 1693815 2032578 2145499 2484262 3387630 3726393 4290998 5081445 6210655 6436497 7452786 10162890 10727495 11179179 12421310 12872994 18631965 19309491 21454990 22358358 23600489 32182485 37263930 38618982 47200978 55895895 64364970 70801467 96547455 111791790 118002445 141602934 193094910 212404401 236004890 354007335 424808802 708014670 1062022005 2124044010