Search a number
-
+
131000104020005 = 511171009752918443
BaseRepresentation
bin11101110010010011010110…
…101010100110100000100101
3122011211111011111011110212122
4131302103112222212200211
5114132301203112120010
61142340341133555325
736410305461465023
oct3562232652464045
9564744144143778
10131000104020005
113881691760a970
1212838845945b45
13581334527120c
14244c620361713
15102293000a855
hex7724d6aa6825

131000104020005 has 64 divisors (see below), whose sum is σ = 181792710547200. Its totient is φ = 89562897285120.

The previous prime is 131000104019951. The next prime is 131000104020043. The reversal of 131000104020005 is 500020401000131.

It is not a de Polignac number, because 131000104020005 - 246 = 60631359842341 is a prime.

It is a super-2 number, since 2×1310001040200052 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7102962314 + ... + 7102980756.

It is an arithmetic number, because the mean of its divisors is an integer number (2840511102300).

Almost surely, 2131000104020005 is an apocalyptic number.

It is an amenable number.

131000104020005 is a deficient number, since it is larger than the sum of its proper divisors (50792606527195).

131000104020005 is a wasteful number, since it uses less digits than its factorization.

131000104020005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27014.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 131000104020005 its reverse (500020401000131), we get a palindrome (631020505020136).

The spelling of 131000104020005 in words is "one hundred thirty-one trillion, one hundred four million, twenty thousand, five".

Divisors: 1 5 11 17 55 85 187 935 1009 5045 7529 11099 17153 18443 37645 55495 82819 85765 92215 127993 188683 202873 313531 414095 639965 943415 1014365 1407923 1567655 3448841 7039615 7596761 17244205 18608987 37983805 83564371 93044935 129144937 138857347 204698857 316352779 417821855 645724685 694286735 1023494285 1420594307 1527430817 1581763895 2360574899 3479880569 7102971535 7637154085 11802874495 17399402845 25966323889 129831619445 140107063123 700535315615 1541177694353 2381820073091 7705888471765 11909100365455 26200020804001 131000104020005