Search a number
-
+
100011331301 = 71973791011291
BaseRepresentation
bin101110100100100100…
…0111100111011100101
3100120010221222000212112
41131021020330323211
53114310400100201
6113540005530405
710140242201240
oct1351110747345
9316127860775
10100011331301
1139461875512
1217471713a05
13957ac7925b
144baa770257
1529052270bb
hex174923cee5

100011331301 has 64 divisors (see below), whose sum is σ = 124825804800. Its totient is φ = 78242112000.

The previous prime is 100011331237. The next prime is 100011331309. The reversal of 100011331301 is 103133110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100011331301 - 26 = 100011331237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011331309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77467466 + ... + 77468756.

It is an arithmetic number, because the mean of its divisors is an integer number (1950403200).

Almost surely, 2100011331301 is an apocalyptic number.

It is an amenable number.

100011331301 is a deficient number, since it is larger than the sum of its proper divisors (24814473499).

100011331301 is a wasteful number, since it uses less digits than its factorization.

100011331301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100011331301 its reverse (103133110001), we get a palindrome (203144441302).

The spelling of 100011331301 in words is "one hundred billion, eleven million, three hundred thirty-one thousand, three hundred one".

Divisors: 1 7 19 73 79 101 133 511 553 707 1291 1387 1501 1919 5767 7373 7979 9037 9709 10507 13433 24529 40369 51611 55853 94243 101989 109573 130391 140087 151601 171703 582467 659701 713923 767011 912737 980609 1061207 1790617 1937791 2477429 4077269 7445197 9518543 10300889 11066873 12534319 13564537 17342003 52116379 66629801 72106223 77468111 141458743 180852317 195716891 751964897 990211201 1265966219 1370018237 5263754279 14287333043 100011331301