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113141105301 = 3728318894909
BaseRepresentation
bin110100101011110111…
…1000100001010010101
3101211000222221122210110
41221113233010022111
53323203110332201
6123550514313233
711113512345600
oct1512757041225
9354028848713
10113141105301
1143a8a228004
1219b16888819
13a8911b78b3
14569443b337
152e22c606d6
hex1a57bc4295

113141105301 has 48 divisors (see below), whose sum is σ = 177728644800. Its totient is φ = 63826301952.

The previous prime is 113141105291. The next prime is 113141105309. The reversal of 113141105301 is 103501141311.

It is not a de Polignac number, because 113141105301 - 25 = 113141105269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113141105309) 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 47 ways as a sum of consecutive naturals, for example, 23045235 + ... + 23050143.

It is an arithmetic number, because the mean of its divisors is an integer number (3702680100).

Almost surely, 2113141105301 is an apocalyptic number.

It is an amenable number.

113141105301 is a deficient number, since it is larger than the sum of its proper divisors (64587539499).

113141105301 is a wasteful number, since it uses less digits than its factorization.

113141105301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 113141105301 its reverse (103501141311), we get a palindrome (216642246612).

The spelling of 113141105301 in words is "one hundred thirteen billion, one hundred forty-one million, one hundred five thousand, three hundred one".

Divisors: 1 3 7 21 49 83 147 249 581 1743 1889 4067 4909 5667 12201 13223 14727 34363 39669 92561 103089 156787 240541 277683 407447 470361 721623 1097509 1222341 2852129 3292527 7682563 8556387 9273101 19964903 23047689 27819303 59894709 64911707 194735121 454381949 769667383 1363145847 2309002149 5387671681 16163015043 37713701767 113141105301