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121331295 = 32517199797
BaseRepresentation
bin1110011101101…
…01111001011111
322110022021020200
413032311321133
5222030100140
620012314543
73002204361
oct716657137
9273267220
10121331295
1162540aa8
1234772a53
131c1a1b87
1412184d31
15a9ba030
hex73b5e5f

121331295 has 48 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 60521472.

The previous prime is 121331269. The next prime is 121331333. The reversal of 121331295 is 592133121.

It is not a de Polignac number, because 121331295 - 27 = 121331167 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151837 + ... + 152633.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2121331295 is an apocalyptic number.

121331295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121331295 is a deficient number, since it is larger than the sum of its proper divisors (102747105).

121331295 is a wasteful number, since it uses less digits than its factorization.

121331295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1021 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 121331295 is about 11015.0485700246. The cubic root of 121331295 is about 495.0597417946.

The spelling of 121331295 in words is "one hundred twenty-one million, three hundred thirty-one thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 199 255 597 765 797 995 1791 2391 2985 3383 3985 7173 8955 10149 11955 13549 16915 30447 35865 40647 50745 67745 121941 152235 158603 203235 475809 609705 793015 1427427 2379045 2696251 7137135 8088753 13481255 24266259 40443765 121331295