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131423114341420 = 2251110720292751587
BaseRepresentation
bin11101111000011101010100…
…000010111010110000101100
3122020022221000210201021202221
4131320131110002322300230
5114211214014232411140
61143302540101125124
736453002201054146
oct3570352402726054
9566287023637687
10131423114341420
113896a258941320
12128a681b0b97a4
1358441b9b43655
142464cac53bc96
15102d93baa214a
hex7787540bac2c

131423114341420 has 96 divisors (see below), whose sum is σ = 304042109172480. Its totient is φ = 47320235139840.

The previous prime is 131423114341369. The next prime is 131423114341427. The reversal of 131423114341420 is 24143411324131.

It is not an unprimeable number, because it can be changed into a prime (131423114341427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46386867 + ... + 49138453.

It is an arithmetic number, because the mean of its divisors is an integer number (3167105303880).

Almost surely, 2131423114341420 is an apocalyptic number.

131423114341420 is a gapful number since it is divisible by the number (10) 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 131423114341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152021054586240).

131423114341420 is an abundant number, since it is smaller than the sum of its proper divisors (172618994831060).

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

131423114341420 is a wasteful number, since it uses less digits than its factorization.

131423114341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753743 (or 2753741 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 131423114341420 its reverse (24143411324131), we get a palindrome (155566525665551).

It can be divided in two parts, 1314231 and 14341420, that added together give a palindrome (15655651).

The spelling of 131423114341420 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, one hundred fourteen million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2029 2140 2354 4058 4708 5885 8116 10145 11770 20290 22319 23540 40580 44638 89276 111595 217103 223190 434206 446380 868412 1085515 2171030 2388133 2751587 4342060 4776266 5503174 9552532 11006348 11940665 13757935 23881330 27515870 30267457 47762660 55031740 60534914 121069828 151337285 294419809 302674570 588839618 605349140 1177679236 1472099045 2944198090 3238617899 5582970023 5888396180 6477235798 11165940046 12954471596 16193089495 22331880092 27914850115 32386178990 55829700230 61412670253 64772357980 111659400460 122825340506 245650681012 307063351265 597377792461 614126702530 1194755584922 1228253405060 2389511169844 2986888962305 5973777924610 6571155717071 11947555849220 13142311434142 26284622868284 32855778585355 65711557170710 131423114341420