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1020104001 = 32722313161
BaseRepresentation
bin111100110011011…
…000110101000001
32122002111122121200
4330303120311001
54042121312001
6245120211413
734164512100
oct7463306501
92562448550
101020104001
11483905264
12245769b69
13133458a47
14996a2037
155e853086
hex3ccd8d41

1020104001 has 18 divisors (see below), whose sum is σ = 1714053042. Its totient is φ = 582916320.

The previous prime is 1020103991. The next prime is 1020104003. The reversal of 1020104001 is 1004010201.

It is a happy number.

1020104001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 682463376 + 337640625 = 26124^2 + 18375^2 .

It is not a de Polignac number, because 1020104001 - 26 = 1020103937 is a prime.

It is a super-2 number, since 2×10201040012 = 2081224345712416002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1020104003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1156140 + ... + 1157021.

It is an arithmetic number, because the mean of its divisors is an integer number (95225169).

Almost surely, 21020104001 is an apocalyptic number.

It is an amenable number.

1020104001 is a deficient number, since it is larger than the sum of its proper divisors (693949041).

1020104001 is a wasteful number, since it uses less digits than its factorization.

1020104001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313181 (or 2313171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020104001 is about 31939.0670026537. The cubic root of 1020104001 is about 1006.6569207400.

Adding to 1020104001 its reverse (1004010201), we get a palindrome (2024114202).

The spelling of 1020104001 in words is "one billion, twenty million, one hundred four thousand, one".

Divisors: 1 3 7 9 21 49 63 147 441 2313161 6939483 16192127 20818449 48576381 113344889 145729143 340034667 1020104001