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113542112503341 = 32532339973102437
BaseRepresentation
bin11001110100010000010101…
…010010000110011000101101
3112220000112001001010121002200
4121310100111102012120231
5104340233221300101331
61041252305411412113
732626101252155064
oct3164202522063055
9486015031117080
10113542112503341
11331a5a37520435
121089927b8b4039
134b47c8a879652
14200767900b1db
15d1d756c585e6
hex67441548662d

113542112503341 has 48 divisors (see below), whose sum is σ = 167835344420016. Its totient is φ = 73939661872128.

The previous prime is 113542112503331. The next prime is 113542112503363. The reversal of 113542112503341 is 143305211245311.

113542112503341 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 2 + 112 + 503 + 34 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 307592252100 + 113234520251241 = 554610^2 + 10641171^2 .

It is not a de Polignac number, because 113542112503341 - 27 = 113542112503213 is a prime.

It is a super-2 number, since 2×1135421125033412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113542112503296 and 113542112503305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113542112503331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1108357975 + ... + 1108460411.

It is an arithmetic number, because the mean of its divisors is an integer number (3496569675417).

Almost surely, 2113542112503341 is an apocalyptic number.

It is an amenable number.

113542112503341 is a deficient number, since it is larger than the sum of its proper divisors (54293231916675).

113542112503341 is a wasteful number, since it uses less digits than its factorization.

113542112503341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112702 (or 112699 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 113542112503341 its reverse (143305211245311), we get a palindrome (256847323748652).

The spelling of 113542112503341 in words is "one hundred thirteen trillion, five hundred forty-two billion, one hundred twelve million, five hundred three thousand, three hundred forty-one".

Divisors: 1 3 9 53 159 233 477 699 2097 9973 12349 29919 37047 89757 102437 111141 307311 528569 921933 1585707 2323709 4757121 5429161 6971127 16287483 20913381 23867821 48862449 71603463 123156577 214810389 369469731 1021604201 1108409193 1264994513 3064812603 3794983539 9194437809 11384950617 54145022653 162435067959 238033778833 487305203877 714101336499 2142304009497 12615790278149 37847370834447 113542112503341