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210042417 = 31323234161
BaseRepresentation
bin11001000010011…
…11111000110001
3112122020021000210
430201033320301
5412232324132
632501534333
75130221364
oct1441177061
9478207023
10210042417
11a8621a82
125a4143a9
1334692270
141dc780db
151368ebcc
hexc84fe31

210042417 has 16 divisors (see below), whose sum is σ = 314713728. Its totient is φ = 123636480.

The previous prime is 210042409. The next prime is 210042421. The reversal of 210042417 is 714240012.

It is a happy number.

210042417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210042417 - 23 = 210042409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210042393 and 210042402.

It is not an unprimeable number, because it can be changed into a prime (210042517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116184 + ... + 117977.

It is an arithmetic number, because the mean of its divisors is an integer number (19669608).

Almost surely, 2210042417 is an apocalyptic number.

It is an amenable number.

210042417 is a deficient number, since it is larger than the sum of its proper divisors (104671311).

210042417 is a wasteful number, since it uses less digits than its factorization.

210042417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234200.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 210042417 is about 14492.8401978356. The cubic root of 210042417 is about 594.4322121595.

Adding to 210042417 its reverse (714240012), we get a palindrome (924282429).

The spelling of 210042417 in words is "two hundred ten million, forty-two thousand, four hundred seventeen".

Divisors: 1 3 13 23 39 69 299 897 234161 702483 3044093 5385703 9132279 16157109 70014139 210042417