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121131341 = 1753233577
BaseRepresentation
bin1110011100001…
…01000101001101
322102221002221222
413032011011031
5222002200331
620004133125
73000412412
oct716050515
9272832858
10121131341
1162414851
12346971a5
131c131b66
1412132109
15a97ab7b
hex738514d

121131341 has 16 divisors (see below), whose sum is σ = 131464944. Its totient is φ = 111181824.

The previous prime is 121131323. The next prime is 121131349. The reversal of 121131341 is 143131121.

It can be written as a sum of positive squares in 8 ways, for example, as 23319241 + 97812100 = 4829^2 + 9890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121131341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121131349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209645 + ... + 210221.

It is an arithmetic number, because the mean of its divisors is an integer number (8216559).

Almost surely, 2121131341 is an apocalyptic number.

It is an amenable number.

121131341 is a deficient number, since it is larger than the sum of its proper divisors (10333603).

121131341 is a wasteful number, since it uses less digits than its factorization.

121131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880.

The product of its digits is 72, while the sum is 17.

The square root of 121131341 is about 11005.9684262676. The cubic root of 121131341 is about 494.7876394116.

Adding to 121131341 its reverse (143131121), we get a palindrome (264262462).

The spelling of 121131341 in words is "one hundred twenty-one million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 17 53 233 577 901 3961 9809 12349 30581 134441 209933 519877 2285497 7125373 121131341