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2004120111 = 37235379991
BaseRepresentation
bin111011101110100…
…0111001000101111
312011200002211221210
41313131013020233
513101023320421
6530511125503
7100443511530
oct16735071057
95150084853
102004120111
11939301114
1247b213893
1325c28a7b6
1415024c687
15bae28576
hex7774722f

2004120111 has 64 divisors (see below), whose sum is σ = 3291217920. Its totient is φ = 1060076160.

The previous prime is 2004120109. The next prime is 2004120113. The reversal of 2004120111 is 1110214002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2004120109) and next prime (2004120113).

It is not a de Polignac number, because 2004120111 - 21 = 2004120109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004120113) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2021826 + ... + 2022816.

It is an arithmetic number, because the mean of its divisors is an integer number (51425280).

Almost surely, 22004120111 is an apocalyptic number.

2004120111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2004120111 is a deficient number, since it is larger than the sum of its proper divisors (1287097809).

2004120111 is a wasteful number, since it uses less digits than its factorization.

2004120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2004120111 is about 44767.4000920313. The cubic root of 2004120111 is about 1260.7856255712.

Adding to 2004120111 its reverse (1110214002), we get a palindrome (3114334113).

The spelling of 2004120111 in words is "two billion, four million, one hundred twenty thousand, one hundred eleven".

Divisors: 1 3 7 21 23 53 69 79 159 161 237 371 483 553 991 1113 1219 1659 1817 2973 3657 4187 5451 6937 8533 12561 12719 20811 22793 25599 29309 38157 52523 68379 78289 87927 96301 157569 159551 234867 288903 367661 478653 548023 674107 1102983 1208029 1644069 1800647 2022321 3624087 4149317 5401941 8456203 12447951 12604529 25368609 29045219 37813587 87135657 95434291 286302873 668040037 2004120111