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130541105655 = 33513933121017
BaseRepresentation
bin111100110010011011…
…0110011000111110111
3110110221122010021001000
41321210312303013313
54114322010340110
6135545244534343
712300634042602
oct1714466630767
9413848107030
10130541105655
11503a9061894
1221371b513b3
13c40501c7ac
1464652c1339
1535e05eb1c0
hex1e64db31f7

130541105655 has 64 divisors (see below), whose sum is σ = 234459993600. Its totient is φ = 68908942080.

The previous prime is 130541105627. The next prime is 130541105659. The reversal of 130541105655 is 556501145031.

130541105655 is a `hidden beast` number, since 1 + 3 + 0 + 541 + 10 + 56 + 55 = 666.

It is not a de Polignac number, because 130541105655 - 224 = 130524328439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130541105659) by changing a digit.

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, 6200707 + ... + 6221723.

It is an arithmetic number, because the mean of its divisors is an integer number (3663437400).

Almost surely, 2130541105655 is an apocalyptic number.

130541105655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130541105655 is a deficient number, since it is larger than the sum of its proper divisors (103918887945).

130541105655 is a wasteful number, since it uses less digits than its factorization.

130541105655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21501 (or 21495 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

It can be divided in two parts, 130541 and 105655, that added together give a square (236196 = 4862).

The spelling of 130541105655 in words is "one hundred thirty billion, five hundred forty-one million, one hundred five thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 139 331 417 695 993 1251 1655 2085 2979 3753 4965 6255 8937 14895 18765 21017 44685 46009 63051 105085 138027 189153 230045 315255 414081 567459 690135 945765 1242243 2070405 2837295 2921363 6211215 6956627 8764089 14606815 20869881 26292267 34783135 43820445 62609643 78876801 104349405 131461335 187828929 313048215 394384005 939144645 966971153 2900913459 4834855765 8702740377 14504567295 26108221131 43513701885 130541105655