Search a number
-
+
11001010001111 = 13235912713137483
BaseRepresentation
bin1010000000010101111101…
…0010110001010011010111
31102221200112022011001100222
42200011133102301103113
52420220032030013421
635221443315224555
72213540166100064
oct240053722612327
942850468131328
1011001010001111
113561558393779
12129809bba815b
1361a510753450
142a0647767c6b
151412651b3cab
hexa015f4b14d7

11001010001111 has 64 divisors (see below), whose sum is σ = 12767926026240. Its totient is φ = 9400881409920.

The previous prime is 11001010001081. The next prime is 11001010001131. The reversal of 11001010001111 is 11110001010011.

It is not a de Polignac number, because 11001010001111 - 242 = 6602963490007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001010001131) 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, 293474576 + ... + 293512058.

It is an arithmetic number, because the mean of its divisors is an integer number (199498844160).

Almost surely, 211001010001111 is an apocalyptic number.

11001010001111 is a deficient number, since it is larger than the sum of its proper divisors (1766916025129).

11001010001111 is a wasteful number, since it uses less digits than its factorization.

11001010001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37836.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11001010001111 its reverse (11110001010011), we get a palindrome (22111011011122).

The spelling of 11001010001111 in words is "eleven trillion, one billion, ten million, one thousand, one hundred eleven".

Divisors: 1 13 23 59 127 131 299 767 1357 1651 1703 2921 3013 7493 7729 16637 17641 37483 37973 39169 97409 100477 172339 177767 216281 382651 487279 862109 981583 2211497 2240407 2310971 4760341 4910273 4974463 11207417 12760579 22576409 28749461 50864431 61884433 63833549 109487843 112936279 280860119 289706107 293493317 623604671 661237603 1423341959 1468171627 3651181547 3766179391 6459782737 6663240461 8106860723 14342907433 36792675589 83977175581 86622125993 186457796629 478304782657 846231538547 11001010001111