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1320013002 = 237119193109
BaseRepresentation
bin100111010101101…
…1100110011001010
310101222211121102110
41032223130303022
510200410404002
6334552243150
744465632260
oct11653346312
93358747373
101320013002
11618127340
1230a0a04b6
131806242a9
14c7450430
157ad44e6c
hex4eadccca

1320013002 has 64 divisors (see below), whose sum is σ = 3296102400. Its totient is φ = 342377280.

The previous prime is 1320012997. The next prime is 1320013007. The reversal of 1320013002 is 2003100231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1320012997) and next prime (1320013007).

It is not an unprimeable number, because it can be changed into a prime (1320013007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423024 + ... + 426132.

It is an arithmetic number, because the mean of its divisors is an integer number (51501600).

Almost surely, 21320013002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648051200).

1320013002 is an abundant number, since it is smaller than the sum of its proper divisors (1976089398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1320013002 is a wasteful number, since it uses less digits than its factorization.

1320013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320013002 is about 36331.9831828652. The cubic root of 1320013002 is about 1096.9649121643.

Adding to 1320013002 its reverse (2003100231), we get a palindrome (3323113233).

The spelling of 1320013002 in words is "one billion, three hundred twenty million, thirteen thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 919 1838 2757 3109 5514 6218 6433 9327 10109 12866 18654 19299 20218 21763 30327 34199 38598 43526 60654 65289 68398 70763 102597 130578 141526 205194 212289 239393 424578 478786 718179 1436358 2857171 5714342 8571513 17143026 20000197 31428881 40000394 60000591 62857762 94286643 120001182 188573286 220002167 440004334 660006501 1320013002