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131102034105 = 3575323558317
BaseRepresentation
bin111101000011001001…
…0100100100010111001
3110112101201121101012210
41322012102210202321
54121444110042410
6140121043325333
712320554621530
oct1720622444271
9415351541183
10131102034105
1150666753719
12214a9980849
13c4942b8313
1464b99b7317
15362499c220
hex1e864a48b9

131102034105 has 32 divisors (see below), whose sum is σ = 244252641024. Its totient is φ = 58801556736.

The previous prime is 131102034079. The next prime is 131102034109. The reversal of 131102034105 is 501430201131.

It is not a de Polignac number, because 131102034105 - 210 = 131102033081 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131102034109) 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 31 ways as a sum of consecutive naturals, for example, 11773594 + ... + 11784723.

It is an arithmetic number, because the mean of its divisors is an integer number (7632895032).

Almost surely, 2131102034105 is an apocalyptic number.

131102034105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131102034105 is a deficient number, since it is larger than the sum of its proper divisors (113150606919).

131102034105 is a wasteful number, since it uses less digits than its factorization.

131102034105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23558385.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 131102034105 its reverse (501430201131), we get a palindrome (632532235236).

The spelling of 131102034105 in words is "one hundred thirty-one billion, one hundred two million, thirty-four thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 53 105 159 265 371 795 1113 1855 5565 23558317 70674951 117791585 164908219 353374755 494724657 824541095 1248590801 2473623285 3745772403 6242954005 8740135607 18728862015 26220406821 43700678035 131102034105