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1004101413 = 37172812609
BaseRepresentation
bin111011110110010…
…101111100100101
32120222101122012020
4323312111330211
54024022221123
6243345213353
733611502240
oct7366257445
92528348166
101004101413
11475875287
12240331259
13130044c63
14974d8257
155d2417e3
hex3bd95f25

1004101413 has 16 divisors (see below), whose sum is σ = 1620063360. Its totient is φ = 540020736.

The previous prime is 1004101403. The next prime is 1004101451. The reversal of 1004101413 is 3141014001.

It is not a de Polignac number, because 1004101413 - 220 = 1003052837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1004101392 and 1004101401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004101403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405948 + ... + 1406661.

It is an arithmetic number, because the mean of its divisors is an integer number (101253960).

Almost surely, 21004101413 is an apocalyptic number.

It is an amenable number.

1004101413 is a deficient number, since it is larger than the sum of its proper divisors (615961947).

1004101413 is a wasteful number, since it uses less digits than its factorization.

1004101413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812636.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1004101413 is about 31687.5592780511. The cubic root of 1004101413 is about 1001.3652728484.

Adding to 1004101413 its reverse (3141014001), we get a palindrome (4145115414).

The spelling of 1004101413 in words is "one billion, four million, one hundred one thousand, four hundred thirteen".

Divisors: 1 3 7 17 21 51 119 357 2812609 8437827 19688263 47814353 59064789 143443059 334700471 1004101413