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404213235101 = 131571971005313
BaseRepresentation
bin1011110000111001111…
…11000111110110011101
31102122100022111220000022
411320130333013312131
523110312042010401
6505405404241525
741126531544164
oct5703477076635
91378308456008
10404213235101
11146475919285
126640a2402a5
132c16a49c270
14157c79823db
15a7ab73e71b
hex5e1cfc7d9d

404213235101 has 16 divisors (see below), whose sum is σ = 440303404464. Its totient is φ = 368861036544.

The previous prime is 404213235077. The next prime is 404213235103. The reversal of 404213235101 is 101532312404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1053002500 + 403160232601 = 32450^2 + 634949^2 .

It is not a de Polignac number, because 404213235101 - 210 = 404213234077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404213235103) 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, 100580 + ... + 904733.

It is an arithmetic number, because the mean of its divisors is an integer number (27518962779).

Almost surely, 2404213235101 is an apocalyptic number.

It is an amenable number.

404213235101 is a deficient number, since it is larger than the sum of its proper divisors (36090169363).

404213235101 is a wasteful number, since it uses less digits than its factorization.

404213235101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005680.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 404213235101 its reverse (101532312404), we get a palindrome (505745547505).

The spelling of 404213235101 in words is "four hundred four billion, two hundred thirteen million, two hundred thirty-five thousand, one hundred one".

Divisors: 1 13 157 197 2041 2561 30929 402077 1005313 13069069 157834141 198046661 2051843833 2574606593 31093325777 404213235101