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129382121 = 1117240699
BaseRepresentation
bin1111011011000…
…11011011101001
3100000110021220102
413231203123221
5231110211441
620501035145
73130505231
oct755433351
9300407812
10129382121
116703a780
12373b5ab5
1320a6048b
141327ccc1
15b55a69b
hex7b636e9

129382121 has 12 divisors (see below), whose sum is σ = 149938800. Its totient is φ = 110698560.

The previous prime is 129382091. The next prime is 129382151. The reversal of 129382121 is 121283921.

It is an interprime number because it is at equal distance from previous prime (129382091) and next prime (129382151).

It is a de Polignac number, because none of the positive numbers 2k-129382121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129382151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17171 + ... + 23528.

It is an arithmetic number, because the mean of its divisors is an integer number (12494900).

Almost surely, 2129382121 is an apocalyptic number.

129382121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

129382121 is a deficient number, since it is larger than the sum of its proper divisors (20556679).

129382121 is a wasteful number, since it uses less digits than its factorization.

129382121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40744 (or 40727 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 129382121 is about 11374.6261916601. The cubic root of 129382121 is about 505.7758501958.

The spelling of 129382121 in words is "one hundred twenty-nine million, three hundred eighty-two thousand, one hundred twenty-one".

Divisors: 1 11 17 187 289 3179 40699 447689 691883 7610713 11762011 129382121