Search a number
-
+
121717161 = 3417372389
BaseRepresentation
bin1110100000101…
…00000110101001
322111000212120000
413100110012221
5222124422121
620024453213
73005402346
oct720240651
9274025500
10121717161
11627849a5
123491a209
131c2a86b7
14122457cd
15aa44526
hex74141a9

121717161 has 40 divisors (see below), whose sum is σ = 197805960. Its totient is φ = 74276352.

The previous prime is 121717073. The next prime is 121717163. The reversal of 121717161 is 161717121.

It can be written as a sum of positive squares in 4 ways, for example, as 41525136 + 80192025 = 6444^2 + 8955^2 .

It is not a de Polignac number, because 121717161 - 217 = 121586089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (121717163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49755 + ... + 52143.

It is an arithmetic number, because the mean of its divisors is an integer number (4945149).

Almost surely, 2121717161 is an apocalyptic number.

It is an amenable number.

121717161 is a deficient number, since it is larger than the sum of its proper divisors (76088799).

121717161 is a wasteful number, since it uses less digits than its factorization.

121717161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2446 counting only the distinct ones).

The product of its digits is 588, while the sum is 27.

The square root of 121717161 is about 11032.5500678674. The cubic root of 121717161 is about 495.5839939369.

The spelling of 121717161 in words is "one hundred twenty-one million, seven hundred seventeen thousand, one hundred sixty-one".

Divisors: 1 3 9 17 27 37 51 81 111 153 333 459 629 999 1377 1887 2389 2997 5661 7167 16983 21501 40613 50949 64503 88393 121839 193509 265179 365517 795537 1096551 1502681 2386611 3289653 4508043 7159833 13524129 40572387 121717161