Search a number
-
+
131142421412210 = 25132921199509937
BaseRepresentation
bin11101110100010111111001…
…011100010111100101110010
3122012100002111211110002002202
4131310113321130113211302
5114142114134340142320
61142525555141343202
736423504312403565
oct3564277134274562
9565302454402082
10131142421412210
113887120901407a
1212860343707b02
1358238a5c877b0
1424554816684dc
1510264ae3d6b75
hex7745f9717972

131142421412210 has 48 divisors (see below), whose sum is σ = 263282835311496. Its totient is φ = 46752099265536.

The previous prime is 131142421412201. The next prime is 131142421412213. The reversal of 131142421412210 is 12214124241131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17838467520721 + 113303953891489 = 4223561^2 + 10644433^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (131142421412213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599645639 + ... + 599864298.

Almost surely, 2131142421412210 is an apocalyptic number.

131142421412210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131142421412210 is an abundant number, since it is smaller than the sum of its proper divisors (132140413899286).

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

131142421412210 is a wasteful number, since it uses less digits than its factorization.

131142421412210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199510015 (or 1199509986 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 131142421412210 its reverse (12214124241131), we get a palindrome (143356545653341).

The spelling of 131142421412210 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-one million, four hundred twelve thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 841 1682 1885 3770 4205 8410 10933 21866 54665 109330 1199509937 2399019874 5997549685 11995099370 15593629181 31187258362 34785788173 69571576346 77968145905 155936291810 173928940865 347857881730 452215246249 904430492498 1008787857017 2017575714034 2261076231245 4522152462490 5043939285085 10087878570170 13114242141221 26228484282442 65571210706105 131142421412210