Search a number
-
+
121505121 = 32101133669
BaseRepresentation
bin1110011111000…
…00010101100001
322110122002200200
413033200111201
5222101130441
620020135413
73003530223
oct717402541
9273562620
10121505121
116264a661
1234837569
131c23302a
14121cc413
15aa017b6
hex73e0561

121505121 has 12 divisors (see below), whose sum is σ = 177246420. Its totient is φ = 80200800.

The previous prime is 121505101. The next prime is 121505141.

121505121 is a `hidden beast` number, since 1 + 2 + 150 + 512 + 1 = 666.

121505121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (121505101) and next prime (121505141).

It can be written as a sum of positive squares in 2 ways, for example, as 50339025 + 71166096 = 7095^2 + 8436^2 .

It is not a de Polignac number, because 121505121 - 29 = 121504609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121505094 and 121505103.

It is not an unprimeable number, because it can be changed into a prime (121505101) 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, 65926 + ... + 67743.

It is an arithmetic number, because the mean of its divisors is an integer number (14770535).

Almost surely, 2121505121 is an apocalyptic number.

It is an amenable number.

121505121 is a deficient number, since it is larger than the sum of its proper divisors (55741299).

121505121 is a wasteful number, since it uses less digits than its factorization.

121505121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133776 (or 133773 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 121505121 is about 11022.9361333539. The cubic root of 121505121 is about 495.2960457424.

It can be divided in two parts, 12150 and 5121, that added together give a palindrome (17271).

The spelling of 121505121 in words is "one hundred twenty-one million, five hundred five thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 133669 401007 1203021 13500569 40501707 121505121