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1004107124 = 221721145861
BaseRepresentation
bin111011110110010…
…111010101110100
32120222101221000202
4323312113111310
54024022411444
6243345300032
733611525006
oct7366272564
92528357022
101004107124
114758795a9
12240334618
13130047737
14974da376
155d24334e
hex3bd97574

1004107124 has 12 divisors (see below), whose sum is σ = 1758220548. Its totient is φ = 501758400.

The previous prime is 1004107109. The next prime is 1004107129. The reversal of 1004107124 is 4217014001.

It can be written as a sum of positive squares in 2 ways, for example, as 436810000 + 567297124 = 20900^2 + 23818^2 .

It is a super-2 number, since 2×10041071242 = 2016462232935102752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004107096 and 1004107105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004107129) 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 3 ways as a sum of consecutive naturals, for example, 66047 + ... + 79814.

It is an arithmetic number, because the mean of its divisors is an integer number (146518379).

Almost surely, 21004107124 is an apocalyptic number.

It is an amenable number.

1004107124 is a deficient number, since it is larger than the sum of its proper divisors (754113424).

1004107124 is a wasteful number, since it uses less digits than its factorization.

1004107124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147586 (or 147584 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1004107124 is about 31687.6493921528. The cubic root of 1004107124 is about 1001.3671713241.

The spelling of 1004107124 in words is "one billion, four million, one hundred seven thousand, one hundred twenty-four".

Divisors: 1 2 4 1721 3442 6884 145861 291722 583444 251026781 502053562 1004107124