Search a number
-
+
131001110130 = 235111920893319
BaseRepresentation
bin111101000000001000…
…1100100111001110010
3110112010200200220112210
41322000101210321302
54121242241011010
6140103040232550
712315221030532
oct1720021447162
9415120626483
10131001110130
1150614790a80
122148000b756
13c4794100a7
1464aa4254c2
15361abb3b20
hex1e80464e72

131001110130 has 64 divisors (see below), whose sum is σ = 361036569600. Its totient is φ = 30086377920.

The previous prime is 131001110099. The next prime is 131001110147. The reversal of 131001110130 is 31011100131.

It is a super-2 number, since 2×1310011101302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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, 10440390 + ... + 10452929.

It is an arithmetic number, because the mean of its divisors is an integer number (5641196400).

Almost surely, 2131001110130 is an apocalyptic number.

131001110130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131001110130 is an abundant number, since it is smaller than the sum of its proper divisors (230035459470).

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

131001110130 is a wasteful number, since it uses less digits than its factorization.

131001110130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20893359.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 131001110130 its reverse (31011100131), we get a palindrome (162012210261).

Subtracting from 131001110130 its reverse (31011100131), we obtain a palindrome (99990009999).

The spelling of 131001110130 in words is "one hundred thirty-one billion, one million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 20893319 41786638 62679957 104466595 125359914 208933190 229826509 313399785 396973061 459653018 626799570 689479527 793946122 1149132545 1190919183 1378959054 1984865305 2298265090 2381838366 3447397635 3969730610 4366703671 5954595915 6894795270 8733407342 11909191830 13100111013 21833518355 26200222026 43667036710 65500555065 131001110130