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1004204414131 = 10312591937579
BaseRepresentation
bin11101001110011110011…
…11110101010010110011
310120000000201202210101221
432213033033311102303
5112423102312223011
62045154121405511
7132360056453122
oct16471717652263
93500021683357
101004204414131
11357976237516
12142756039897
137390835b759
14368649abab9
151b1c5918971
hexe9cf3f54b3

1004204414131 has 8 divisors (see below), whose sum is σ = 1005243955200. Its totient is φ = 1003165002120.

The previous prime is 1004204414053. The next prime is 1004204414177. The reversal of 1004204414131 is 1314144024001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1004204414131 - 211 = 1004204412083 is a prime.

It is a super-2 number, since 2×10042044141312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004204414096 and 1004204414105.

It is not an unprimeable number, because it can be changed into a prime (1004204411131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26703700 + ... + 26741278.

It is an arithmetic number, because the mean of its divisors is an integer number (125655494400).

Almost surely, 21004204414131 is an apocalyptic number.

1004204414131 is a deficient number, since it is larger than the sum of its proper divisors (1039541069).

1004204414131 is a wasteful number, since it uses less digits than its factorization.

1004204414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64529.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1004204414131 its reverse (1314144024001), we get a palindrome (2318348438132).

The spelling of 1004204414131 in words is "one trillion, four billion, two hundred four million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 1031 25919 37579 26722489 38743949 974010101 1004204414131