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2124004104 = 2332187115767
BaseRepresentation
bin111111010011001…
…1011101100001000
312111000200120212200
41332212123230020
513322221112404
6550432440200
7103430510535
oct17646335410
95430616780
102124004104
1199aa437a2
124b33a9060
1327b073981
14162137d8c
15c6709839
hex7e99bb08

2124004104 has 48 divisors (see below), whose sum is σ = 5755950720. Its totient is φ = 707578080.

The previous prime is 2124004073. The next prime is 2124004111. The reversal of 2124004104 is 4014004212.

2124004104 is a `hidden beast` number, since 212 + 40 + 0 + 410 + 4 = 666.

It is a super-2 number, since 2×21240041042 = 9022786867617685632, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 126829 + ... + 142595.

It is an arithmetic number, because the mean of its divisors is an integer number (119915640).

Almost surely, 22124004104 is an apocalyptic number.

2124004104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2124004104 is an abundant number, since it is smaller than the sum of its proper divisors (3631946616).

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

2124004104 is a wasteful number, since it uses less digits than its factorization.

2124004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17650 (or 17643 counting only the distinct ones).

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

The square root of 2124004104 is about 46086.9190117977. The cubic root of 2124004104 is about 1285.4399224515.

Adding to 2124004104 its reverse (4014004212), we get a palindrome (6138008316).

The spelling of 2124004104 in words is "two billion, one hundred twenty-four million, four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1871 3742 5613 7484 11226 14968 15767 16839 22452 31534 33678 44904 47301 63068 67356 94602 126136 134712 141903 189204 283806 378408 567612 1135224 29500057 59000114 88500171 118000228 177000342 236000456 265500513 354000684 531001026 708001368 1062002052 2124004104