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102034121 = 722697741
BaseRepresentation
bin1100001010011…
…10101011001001
321002222212111112
412011032223021
5202110042441
614042540105
72346163400
oct605165311
9232885445
10102034121
1152660822
122a207635
13181a6627
14d7a0637
158e574eb
hex614eac9

102034121 has 12 divisors (see below), whose sum is σ = 119149380. Its totient is φ = 87121440.

The previous prime is 102034111. The next prime is 102034129. The reversal of 102034121 is 121430201.

It can be written as a sum of positive squares in 2 ways, for example, as 12996025 + 89038096 = 3605^2 + 9436^2 .

It is not a de Polignac number, because 102034121 - 26 = 102034057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102034096 and 102034105.

It is not an unprimeable number, because it can be changed into a prime (102034129) 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 11 ways as a sum of consecutive naturals, for example, 9311 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (9929115).

Almost surely, 2102034121 is an apocalyptic number.

It is an amenable number.

102034121 is a deficient number, since it is larger than the sum of its proper divisors (17115259).

102034121 is an equidigital number, since it uses as much as digits as its factorization.

102034121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 102034121 is about 10101.1940383303. The cubic root of 102034121 is about 467.2849665463.

Adding to 102034121 its reverse (121430201), we get a palindrome (223464322).

The spelling of 102034121 in words is "one hundred two million, thirty-four thousand, one hundred twenty-one".

Divisors: 1 7 49 269 1883 7741 13181 54187 379309 2082329 14576303 102034121