Search a number
-
+
131342430214420 = 225263115121694217
BaseRepresentation
bin11101110111010010001010…
…111001011001100100010100
3122020001012202210021221221221
4131313102022321121210110
5114203403244113330140
61143201513544220124
736444114601231165
oct3567221271314424
9566035683257857
10131342430214420
1138939014847527
121289306216a644
1358396cc069279
14246101699b76c
15102b7b84e914a
hex77748ae59914

131342430214420 has 48 divisors (see below), whose sum is σ = 277108403539968. Its totient is φ = 52291738246400.

The previous prime is 131342430214381. The next prime is 131342430214421. The reversal of 131342430214420 is 24412034243131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131342430214421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4792849 + ... + 16901368.

It is an arithmetic number, because the mean of its divisors is an integer number (5773091740416).

Almost surely, 2131342430214420 is an apocalyptic number.

131342430214420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131342430214420 is an abundant number, since it is smaller than the sum of its proper divisors (145765973325548).

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

131342430214420 is a wasteful number, since it uses less digits than its factorization.

131342430214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21695640 (or 21695638 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 131342430214420 its reverse (24412034243131), we get a palindrome (155754464457551).

The spelling of 131342430214420 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred thirty million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 263 526 1052 1151 1315 2302 2630 4604 5260 5755 11510 23020 302713 605426 1210852 1513565 3027130 6054260 21694217 43388434 86776868 108471085 216942170 433884340 5705579071 11411158142 22822316284 24970043767 28527895355 49940087534 57055790710 99880175068 114111581420 124850218835 249700437670 499400875340 6567121510721 13134243021442 26268486042884 32835607553605 65671215107210 131342430214420