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1003115252125 = 53711338326489
BaseRepresentation
bin11101001100011100101…
…01000000100110011101
310112220012211022122000101
432212032111000212131
5112413340001032000
62044454053101101
7132321062646520
oct16461625004635
93486184278011
101003115252125
11357467454a28
121424b1327791
1373793803bac
14367a0090bb7
151b15eec3e6a
hexe98e54099d

1003115252125 has 64 divisors (see below), whose sum is σ = 1447213547520. Its totient is φ = 679957555200.

The previous prime is 1003115252071. The next prime is 1003115252137. The reversal of 1003115252125 is 5212525113001.

It is a happy number.

It is not a de Polignac number, because 1003115252125 - 211 = 1003115250077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003115252093 and 1003115252102.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 37855881 + ... + 37882369.

It is an arithmetic number, because the mean of its divisors is an integer number (22612711680).

Almost surely, 21003115252125 is an apocalyptic number.

It is an amenable number.

1003115252125 is a deficient number, since it is larger than the sum of its proper divisors (444098295395).

1003115252125 is a wasteful number, since it uses less digits than its factorization.

1003115252125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27007 (or 26997 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 1003115252125 in words is "one trillion, three billion, one hundred fifteen million, two hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 113 125 175 383 565 791 875 1915 2681 2825 3955 9575 13405 14125 19775 26489 43279 47875 67025 98875 132445 185423 216395 302953 335125 662225 927115 1081975 1514765 2993257 3311125 4635575 5409875 7573825 10145287 14966285 20952799 23177875 37869125 50726435 71017009 74831425 104763995 253632175 355085045 374157125 523819975 1146417431 1268160875 1775425225 2619099875 5732087155 8024922017 8877126125 28660435775 40124610085 143302178875 200623050425 1003115252125