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216101417 = 7229152077
BaseRepresentation
bin11001110000101…
…11001000101001
3120001122002102012
430320113020221
5420310221132
633235445305
75232555200
oct1470271051
9501562365
10216101417
11100a90214
1260456835
1335a0407c
14209b4237
1513e8a0b2
hexce17229

216101417 has 12 divisors (see below), whose sum is σ = 260053380. Its totient is φ = 178841376.

The previous prime is 216101407. The next prime is 216101437. The reversal of 216101417 is 714101612.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95628841 + 120472576 = 9779^2 + 10976^2 .

It is a de Polignac number, because none of the positive numbers 2k-216101417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 216101392 and 216101401.

It is not an unprimeable number, because it can be changed into a prime (216101407) 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, 74618 + ... + 77459.

It is an arithmetic number, because the mean of its divisors is an integer number (21671115).

Almost surely, 2216101417 is an apocalyptic number.

It is an amenable number.

216101417 is a deficient number, since it is larger than the sum of its proper divisors (43951963).

216101417 is a wasteful number, since it uses less digits than its factorization.

216101417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152120 (or 152113 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 216101417 is about 14700.3883282041. The cubic root of 216101417 is about 600.0938899367.

The spelling of 216101417 in words is "two hundred sixteen million, one hundred one thousand, four hundred seventeen".

Divisors: 1 7 29 49 203 1421 152077 1064539 4410233 7451773 30871631 216101417