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2124404025 = 352377310487
BaseRepresentation
bin111111010011111…
…1101010100111001
312111001102220110120
41332213331110321
513322321412100
6550445203453
7103434064512
oct17647752471
95431386416
102124404025
119a0197207
124b3560589
1327b183a03
141621dda09
15c67880a0
hex7e9fd539

2124404025 has 48 divisors (see below), whose sum is σ = 3657039744. Its totient is φ = 1087188480.

The previous prime is 2124404021. The next prime is 2124404027. The reversal of 2124404025 is 5204044212.

It is a happy number.

It is not a de Polignac number, because 2124404025 - 22 = 2124404021 is a prime.

It is a super-2 number, since 2×21244040252 = 9026184922872401250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2124403986 and 2124404004.

It is not an unprimeable number, because it can be changed into a prime (2124404021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197332 + ... + 207818.

It is an arithmetic number, because the mean of its divisors is an integer number (76188328).

Almost surely, 22124404025 is an apocalyptic number.

2124404025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2124404025 is a deficient number, since it is larger than the sum of its proper divisors (1532635719).

2124404025 is a wasteful number, since it uses less digits than its factorization.

2124404025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2124404025 is about 46091.2575766815. The cubic root of 2124404025 is about 1285.5205943230.

Adding to 2124404025 its reverse (5204044212), we get a palindrome (7328448237).

The spelling of 2124404025 in words is "two billion, one hundred twenty-four million, four hundred four thousand, twenty-five".

Divisors: 1 3 5 15 25 37 73 75 111 185 219 365 555 925 1095 1825 2701 2775 5475 8103 10487 13505 31461 40515 52435 67525 157305 202575 262175 388019 765551 786525 1164057 1940095 2296653 3827755 5820285 9700475 11483265 19138775 28325387 29101425 57416325 84976161 141626935 424880805 708134675 2124404025