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1000413141 = 37133799041
BaseRepresentation
bin111011101000010…
…001011111010101
32120201110020211120
4323220101133111
54022101210031
6243134154153
733535241250
oct7350213725
92521406746
101000413141
11473786222
1223b052959
1312c353250
1496c18097
155cc63a96
hex3ba117d5

1000413141 has 32 divisors (see below), whose sum is σ = 1686091008. Its totient is φ = 513423360.

The previous prime is 1000413119. The next prime is 1000413157. The reversal of 1000413141 is 1413140001.

It is not a de Polignac number, because 1000413141 - 26 = 1000413077 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000413141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000413101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39420 + ... + 59621.

It is an arithmetic number, because the mean of its divisors is an integer number (52690344).

Almost surely, 21000413141 is an apocalyptic number.

It is an amenable number.

1000413141 is a deficient number, since it is larger than the sum of its proper divisors (685677867).

1000413141 is a wasteful number, since it uses less digits than its factorization.

1000413141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99101.

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

The square root of 1000413141 is about 31629.3082599035. The cubic root of 1000413141 is about 1000.1376947060.

Adding to 1000413141 its reverse (1413140001), we get a palindrome (2413553142).

The spelling of 1000413141 in words is "one billion, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 99041 297123 693287 1287533 2079861 3664517 3862599 9012731 10993551 25651619 27038193 47638721 76954857 142916163 333471047 1000413141