Search a number
-
+
9118941301 = 193761337631
BaseRepresentation
bin10000111111000100…
…00000000001110101
3212112111220012210201
420133202000001311
5122133422110201
64104510320501
7441655502461
oct103742000165
925474805721
109118941301
11395a44a628
121925ab9131
13b242c6372
146271374a1
15385873801
hex21f880075

9118941301 has 32 divisors (see below), whose sum is σ = 10065585920. Its totient is φ = 8230118400.

The previous prime is 9118941289. The next prime is 9118941311. The reversal of 9118941301 is 1031498119.

It is a 5-Lehmer number, since φ(9118941301) divides (9118941301-1)5.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9118941301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9118941311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14451256 + ... + 14451886.

It is an arithmetic number, because the mean of its divisors is an integer number (314549560).

It is a Poulet number, since it divides 29118941300-1.

Almost surely, 29118941301 is an apocalyptic number.

It is an amenable number.

9118941301 is a deficient number, since it is larger than the sum of its proper divisors (946644619).

9118941301 is a wasteful number, since it uses less digits than its factorization.

9118941301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085.

The product of its (nonzero) digits is 7776, while the sum is 37.

The square root of 9118941301 is about 95493.1479269586. The cubic root of 9118941301 is about 2089.2070052324.

The spelling of 9118941301 in words is "nine billion, one hundred eighteen million, nine hundred forty-one thousand, three hundred one".

Divisors: 1 19 37 61 337 631 703 1159 2257 6403 11989 12469 20557 23347 38491 42883 212647 236911 390583 443593 731329 760609 1424167 4040293 7867939 12971467 14451571 27059173 149490841 246457873 479944279 9118941301