Search a number
-
+
131421144010 = 251317193308117
BaseRepresentation
bin111101001100101001…
…1111000001111001010
3110120012222001211201011
41322121103320033022
54123122303102020
6140212443114134
712331511202232
oct1723123701712
9416188054634
10131421144010
115080a89a712
122157881294a
13c515447350
14650a122cc2
1536429d335a
hex1e994f83ca

131421144010 has 64 divisors (see below), whose sum is σ = 271138910112. Its totient is φ = 45433552896.

The previous prime is 131421143999. The next prime is 131421144077. The reversal of 131421144010 is 10441124131.

It can be written as a sum of positive squares in 16 ways, for example, as 8049498961 + 123371645049 = 89719^2 + 351243^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272472 + ... + 580588.

Almost surely, 2131421144010 is an apocalyptic number.

131421144010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131421144010 is an abundant number, since it is smaller than the sum of its proper divisors (139717766102).

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

131421144010 is a wasteful number, since it uses less digits than its factorization.

131421144010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308347.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 131421144010 its reverse (10441124131), we get a palindrome (141862268141).

The spelling of 131421144010 in words is "one hundred thirty-one billion, four hundred twenty-one million, one hundred forty-four thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 193 221 386 442 965 1105 1930 2210 2509 3281 5018 6562 12545 16405 25090 32810 42653 85306 213265 308117 426530 616234 1540585 3081170 4005521 5237989 8011042 10475978 20027605 26189945 40055210 52379890 59466581 68093857 118933162 136187714 297332905 340469285 594665810 680938570 773065553 1010931877 1546131106 2021863754 3865327765 5054659385 7730655530 10109318770 13142114401 26284228802 65710572005 131421144010