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1004104201 = 173204377
BaseRepresentation
bin111011110110010…
…110101000001001
32120222101210000111
4323312112220021
54024022313301
6243345234321
733611513332
oct7366265011
92528353014
101004104201
11475877391
122403329a1
131300462c9
14974d9289
155d242551
hex3bd96a09

1004104201 has 8 divisors (see below), whose sum is σ = 1066853160. Its totient is φ = 945034624.

The previous prime is 1004104183. The next prime is 1004104253. The reversal of 1004104201 is 1024014001.

It can be written as a sum of positive squares in 4 ways, for example, as 60140025 + 943964176 = 7755^2 + 30724^2 .

It is not a de Polignac number, because 1004104201 - 211 = 1004102153 is a prime.

It is a super-4 number, since 4×10041042014 (a number of 37 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004104301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97276 + ... + 107101.

It is an arithmetic number, because the mean of its divisors is an integer number (133356645).

Almost surely, 21004104201 is an apocalyptic number.

It is an amenable number.

1004104201 is a deficient number, since it is larger than the sum of its proper divisors (62748959).

1004104201 is an frugal number, since it uses more digits than its factorization.

1004104201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204428 (or 204394 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1004104201 is about 31687.6032700487. The cubic root of 1004104201 is about 1001.3661996485.

Adding to 1004104201 its reverse (1024014001), we get a palindrome (2028118202).

The spelling of 1004104201 in words is "one billion, four million, one hundred four thousand, two hundred one".

Divisors: 1 17 289 4913 204377 3474409 59064953 1004104201