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1004322141 = 32176564197
BaseRepresentation
bin111011110111001…
…011110101011101
32120222210211222100
4323313023311131
54024101302031
6243354035313
733613411614
oct7367136535
92528724870
101004322141
11475a060a9
12240418b39
131300c1574
149755487b
155d286de6
hex3bdcbd5d

1004322141 has 12 divisors (see below), whose sum is σ = 1536022332. Its totient is φ = 630162816.

The previous prime is 1004322139. The next prime is 1004322157. The reversal of 1004322141 is 1412234001.

It can be written as a sum of positive squares in 2 ways, for example, as 930860100 + 73462041 = 30510^2 + 8571^2 .

It is not a de Polignac number, because 1004322141 - 21 = 1004322139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004322941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3281946 + ... + 3282251.

It is an arithmetic number, because the mean of its divisors is an integer number (128001861).

Almost surely, 21004322141 is an apocalyptic number.

It is an amenable number.

1004322141 is a deficient number, since it is larger than the sum of its proper divisors (531700191).

1004322141 is a wasteful number, since it uses less digits than its factorization.

1004322141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564220 (or 6564217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004322141 is about 31691.0419677233. The cubic root of 1004322141 is about 1001.4386429805.

Adding to 1004322141 its reverse (1412234001), we get a palindrome (2416556142).

It can be divided in two parts, 100 and 4322141, that added together give a square (4322241 = 20792).

The spelling of 1004322141 in words is "one billion, four million, three hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 17 51 153 6564197 19692591 59077773 111591349 334774047 1004322141