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3005010099 = 3271323672381
BaseRepresentation
bin1011001100011100…
…1101000010110011
321202102110022220100
42303013031002303
522123240310344
61214103443443
7134316110250
oct26307150263
97672408810
103005010099
111302282623
126ba456583
1338b749ab0
1420714c427
15128c33569
hexb31cd0b3

3005010099 has 96 divisors (see below), whose sum is σ = 5660089344. Its totient is φ = 1492888320.

The previous prime is 3005010091. The next prime is 3005010109. The reversal of 3005010099 is 9900105003.

3005010099 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3005010099 - 23 = 3005010091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3005010091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1260889 + ... + 1263269.

It is an arithmetic number, because the mean of its divisors is an integer number (58959264).

Almost surely, 23005010099 is an apocalyptic number.

3005010099 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3005010099 is a deficient number, since it is larger than the sum of its proper divisors (2655079245).

3005010099 is a wasteful number, since it uses less digits than its factorization.

3005010099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 3005010099 is about 54817.9724086909. The cubic root of 3005010099 is about 1443.0519919084.

The spelling of 3005010099 in words is "three billion, five million, ten thousand, ninety-nine".

Divisors: 1 3 7 9 13 21 23 39 63 67 69 91 117 161 201 207 273 299 469 483 603 819 871 897 1407 1449 1541 2093 2381 2613 2691 4221 4623 6097 6279 7143 7839 10787 13869 16667 18291 18837 20033 21429 30953 32361 50001 54763 54873 60099 92859 97083 140231 150003 159527 164289 180297 216671 278577 383341 420693 478581 492867 650013 711919 1116689 1150023 1262079 1435743 1950039 2073851 2135757 3350067 3450069 3669121 4983433 6221553 6407271 10050201 11007363 14516957 14950299 18664659 25683847 33022089 43550871 44850897 47698573 77051541 130652613 143095719 231154623 333890011 429287157 1001670033 3005010099