Search a number
-
+
113003021131 = 71113792336133
BaseRepresentation
bin110100100111110000…
…0010100001101001011
3101210200101010020220221
41221033200110031023
53322412233134011
6123525102530511
711110214555050
oct1511740241513
9353611106827
10113003021131
1143a19294360
1219a98596a37
13a86b6cb5a0
14567dd75027
152e15a86971
hex1a4f81434b

113003021131 has 64 divisors (see below), whose sum is σ = 154329477120. Its totient is φ = 79894563840.

The previous prime is 113003021083. The next prime is 113003021149. The reversal of 113003021131 is 131120300311.

It is not a de Polignac number, because 113003021131 - 27 = 113003021003 is a prime.

It is a super-2 number, since 2×1130030211312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113003021161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18422341 + ... + 18428473.

It is an arithmetic number, because the mean of its divisors is an integer number (2411398080).

Almost surely, 2113003021131 is an apocalyptic number.

113003021131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113003021131 is a deficient number, since it is larger than the sum of its proper divisors (41326455989).

113003021131 is a wasteful number, since it uses less digits than its factorization.

113003021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 113003021131 its reverse (131120300311), we get a palindrome (244123321442).

The spelling of 113003021131 in words is "one hundred thirteen billion, three million, twenty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 79 91 143 233 553 869 1001 1027 1631 2563 3029 6083 6133 7189 11297 17941 18407 21203 33319 42931 67463 79079 79729 128849 202477 233233 239291 472241 484507 558103 877019 1417339 1428989 1675037 2632201 3391549 5329577 6139133 6298591 10002923 15718879 18425407 18576857 37307039 44090137 69284501 110032153 112890131 130037999 204345427 484991507 790230917 1241791441 1430417989 1467571703 8692540087 10273001921 16143288733 113003021131