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16122161 = 112133241
BaseRepresentation
bin111101100000…
…000100110001
31010100002110002
4331200010301
513111402121
61333315345
7254015246
oct75400461
933302402
1016122161
119111900
125495b55
133456353
1421d95cd
151636e0b
hexf60131

16122161 has 6 divisors (see below), whose sum is σ = 17721186. Its totient is φ = 14656400.

The previous prime is 16122157. The next prime is 16122181.

16122161 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 16120225 + 1936 = 4015^2 + 44^2 .

It is not a de Polignac number, because 16122161 - 22 = 16122157 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16122101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66500 + ... + 66741.

It is an arithmetic number, because the mean of its divisors is an integer number (2953531).

Almost surely, 216122161 is an apocalyptic number.

16122161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16122161 is a deficient number, since it is larger than the sum of its proper divisors (1599025).

16122161 is a wasteful number, since it uses less digits than its factorization.

16122161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133263 (or 133252 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 16122161 is about 4015.2410886521. The cubic root of 16122161 is about 252.6238897963.

It can be divided in two parts, 1612 and 2161, that added together give a palindrome (3773).

The spelling of 16122161 in words is "sixteen million, one hundred twenty-two thousand, one hundred sixty-one".

Divisors: 1 11 121 133241 1465651 16122161