Search a number
-
+
104224010009 = 7192313533769
BaseRepresentation
bin110000100010000111…
…1000010111100011001
3100222000112212021122212
41201010033002330121
53201422321310014
6115514014124505
710346524316330
oct1410417027431
9328015767585
10104224010009
1140223811369
12182484b0735
139a9c973b52
14508a046d17
152a9eead23e
hex18443c2f19

104224010009 has 48 divisors (see below), whose sum is σ = 130169594880. Its totient is φ = 81649244160.

The previous prime is 104224010003. The next prime is 104224010029. The reversal of 104224010009 is 900010422401.

It is not a de Polignac number, because 104224010009 - 228 = 103955574553 is a prime.

It is a super-2 number, since 2×1042240100092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104224010003) 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, 27651077 + ... + 27654845.

It is an arithmetic number, because the mean of its divisors is an integer number (2711866560).

Almost surely, 2104224010009 is an apocalyptic number.

104224010009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

104224010009 is a deficient number, since it is larger than the sum of its proper divisors (25945584871).

104224010009 is a wasteful number, since it uses less digits than its factorization.

104224010009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 104224010009 in words is "one hundred four billion, two hundred twenty-four million, ten thousand, nine".

Divisors: 1 7 19 31 133 217 353 361 589 2471 2527 3769 4123 6707 10943 11191 26383 46949 71611 76601 78337 116839 127433 207917 501277 817873 892031 1330457 1360609 1455419 2219941 3950423 9313199 9524263 15539587 25278683 27652961 41244167 42178879 176950781 288709169 295252153 480294977 783639173 3362064839 5485474211 14889144287 104224010009