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131105130044 = 22747138172139
BaseRepresentation
bin111101000011001111…
…0011000011000111100
3110112101221102200001012
41322012132120120330
54122000403130134
6140121233534352
712320623134560
oct1720636303074
9415357380035
10131105130044
1150668478749
12214aaa143b8
13c494b30535
1464ba1816a0
153624dae6ce
hex1e8679863c

131105130044 has 48 divisors (see below), whose sum is σ = 267986826240. Its totient is φ = 54951842880.

The previous prime is 131105130011. The next prime is 131105130077. The reversal of 131105130044 is 440031501131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131105130011) and next prime (131105130077).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1781327 + ... + 1853465.

It is an arithmetic number, because the mean of its divisors is an integer number (5583058880).

Almost surely, 2131105130044 is an apocalyptic number.

131105130044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131105130044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133993413120).

131105130044 is an abundant number, since it is smaller than the sum of its proper divisors (136881696196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131105130044 is a wasteful number, since it uses less digits than its factorization.

131105130044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73578 (or 73576 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 131105130044 its reverse (440031501131), we get a palindrome (571136631175).

The spelling of 131105130044 in words is "one hundred thirty-one billion, one hundred five million, one hundred thirty thousand, forty-four".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 1381 2762 5524 9667 19334 38668 64907 72139 129814 144278 259628 288556 454349 504973 908698 1009946 1817396 2019892 3390533 6781066 13562132 23733731 47467462 94934924 99623959 199247918 398495836 697367713 1394735426 2789470852 4682326073 9364652146 18729304292 32776282511 65552565022 131105130044