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1001104331 = 2971601809
BaseRepresentation
bin111011101010111…
…010001111001011
32120202202100222012
4323222322033023
54022240314311
6243201050135
733544150343
oct7352721713
92522670865
101001104331
11474108557
1223b32694b
1312c535a36
1496d57d23
155cd4d78b
hex3baba3cb

1001104331 has 16 divisors (see below), whose sum is σ = 1053259200. Its totient is φ = 950208000.

The previous prime is 1001104283. The next prime is 1001104343. The reversal of 1001104331 is 1334011001.

It is a cyclic number.

It is not a de Polignac number, because 1001104331 - 26 = 1001104267 is a prime.

It is a super-2 number, since 2×10011043312 = 2004419763093915122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001104361) 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, 1237055 + ... + 1237863.

It is an arithmetic number, because the mean of its divisors is an integer number (65828700).

Almost surely, 21001104331 is an apocalyptic number.

1001104331 is a deficient number, since it is larger than the sum of its proper divisors (52154869).

1001104331 is an equidigital number, since it uses as much as digits as its factorization.

1001104331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1001104331 is about 31640.2327899148. The cubic root of 1001104331 is about 1000.3679749112.

Adding to 1001104331 its reverse (1334011001), we get a palindrome (2335115332).

The spelling of 1001104331 in words is "one billion, one million, one hundred four thousand, three hundred thirty-one".

Divisors: 1 29 71 601 809 2059 17429 23461 42671 57439 486209 1237459 1665731 14100061 34520839 1001104331