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130105404111405 = 35137238326568037
BaseRepresentation
bin11101100101010010000110…
…011001010011101000101101
3122001122221210022102221012210
4131211102012121103220231
5114023121331423031110
61140413333021521033
736255543125652012
oct3545220631235055
9561587708387183
10130105404111405
11385014348641a8
1212713370713179
135779b6b874288
14241b1c6c35709
151009517e61520
hex765486653a2d

130105404111405 has 32 divisors (see below), whose sum is σ = 209776126984704. Its totient is φ = 68854147186176.

The previous prime is 130105404111391. The next prime is 130105404111421. The reversal of 130105404111405 is 504111404501031.

It is not a de Polignac number, because 130105404111405 - 224 = 130105387334189 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 8386954 + ... + 18181083.

It is an arithmetic number, because the mean of its divisors is an integer number (6555503968272).

Almost surely, 2130105404111405 is an apocalyptic number.

130105404111405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130105404111405 is a deficient number, since it is larger than the sum of its proper divisors (79670722873299).

130105404111405 is a wasteful number, since it uses less digits than its factorization.

130105404111405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26570565.

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 130105404111405 its reverse (504111404501031), we get a palindrome (634216808612436).

The spelling of 130105404111405 in words is "one hundred thirty trillion, one hundred five billion, four hundred four million, one hundred eleven thousand, four hundred five".

Divisors: 1 3 5 15 137 411 685 2055 2383 7149 11915 35745 326471 979413 1632355 4897065 26568037 79704111 132840185 398520555 3639821069 10919463207 18199105345 54597316035 63311632171 189934896513 316558160855 949674482565 8673693607427 26021080822281 43368468037135 130105404111405