Search a number
-
+
93030030291 = 31117229379091
BaseRepresentation
bin101011010100100000…
…1011001101111010011
322220010102102012021110
41112221001121233103
53011011141432131
6110423140224403
76502241132052
oct1265101315723
9286112365243
1093030030291
11364aa032760
121604369b103
138a077bc503
1447074c0399
1526473a3646
hex15a9059bd3

93030030291 has 96 divisors (see below), whose sum is σ = 152736871680. Its totient is φ = 49845196800.

The previous prime is 93030030281. The next prime is 93030030389. The reversal of 93030030291 is 19203003039.

It is not a de Polignac number, because 93030030291 - 218 = 93029768147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93030030241) 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 95 ways as a sum of consecutive naturals, for example, 10228656 + ... + 10237746.

It is an arithmetic number, because the mean of its divisors is an integer number (1591009080).

Almost surely, 293030030291 is an apocalyptic number.

93030030291 is a deficient number, since it is larger than the sum of its proper divisors (59706841389).

93030030291 is a wasteful number, since it uses less digits than its factorization.

93030030291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The spelling of 93030030291 in words is "ninety-three billion, thirty million, thirty thousand, two hundred ninety-one".

Divisors: 1 3 11 17 29 33 37 51 87 111 187 289 319 407 493 561 629 867 957 1073 1221 1479 1887 3179 3219 5423 6919 8381 9091 9537 10693 11803 16269 18241 20757 25143 27273 32079 35409 54723 92191 100001 117623 154547 200651 263639 276573 300003 310097 336367 352869 463641 601953 790917 930291 1009101 1700017 2627299 2900029 3411067 3700037 4481863 5100051 5718239 7881897 8700087 9754643 10233201 11100111 13445589 17154717 28900289 29263929 49300493 62900629 76191671 86700867 97210063 107301073 147901479 165828931 188701887 228575013 291630189 321903219 497486793 838108381 1069310693 1824118241 2514325143 2819091827 3207932079 5472354723 8457275481 31010010097 93030030291