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1003131121028 = 22416791293331
BaseRepresentation
bin11101001100011110100…
…01100010110110000100
310112220020221011212001112
432212033101202312010
5112413403031333103
62044455421144152
7132321344561531
oct16461721426604
93486227155045
101003131121028
11357475403523
121424b66bb058
1373796b9bb8a
14367a2221d88
151b1615aacd8
hexe98f462d84

1003131121028 has 24 divisors (see below), whose sum is σ = 1825136293344. Its totient is φ = 482028782400.

The previous prime is 1003131121021. The next prime is 1003131121037. The reversal of 1003131121028 is 8201211313001.

It is a junction number, because it is equal to n+sod(n) for n = 1003131120994 and 1003131121012.

It is not an unprimeable number, because it can be changed into a prime (1003131121021) 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 7 ways as a sum of consecutive naturals, for example, 45635678 + ... + 45657653.

It is an arithmetic number, because the mean of its divisors is an integer number (76047345556).

Almost surely, 21003131121028 is an apocalyptic number.

It is an amenable number.

1003131121028 is a deficient number, since it is larger than the sum of its proper divisors (822005172316).

1003131121028 is a wasteful number, since it uses less digits than its factorization.

1003131121028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91293443 (or 91293441 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 1003131121028 its reverse (8201211313001), we get a palindrome (9204342434029).

The spelling of 1003131121028 in words is "one trillion, three billion, one hundred thirty-one million, one hundred twenty-one thousand, twenty-eight".

Divisors: 1 2 4 41 67 82 134 164 268 2747 5494 10988 91293331 182586662 365173324 3743026571 6116653177 7486053142 12233306354 14972106284 24466612708 250782780257 501565560514 1003131121028