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1303443340033 = 172572153138569
BaseRepresentation
bin10010111101111011010…
…001101111101100000001
311121121102012121020202111
4102331323101233230001
5132323422443340113
62434443230215321
7163112353404532
oct22757321575401
94547365536674
101303443340033
1146287286a55a
12190748654541
1395bb65b6153
14471309d8689
1523d8b38e13d
hex12f7b46fb01

1303443340033 has 16 divisors (see below), whose sum is σ = 1386140098320. Its totient is φ = 1221420384256.

The previous prime is 1303443340019. The next prime is 1303443340039. The reversal of 1303443340033 is 3300433443031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 121282938049 + 1182160401984 = 348257^2 + 1087272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1303443340033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303443339977 and 1303443340004.

It is not an unprimeable number, because it can be changed into a prime (1303443340039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9337173 + ... + 9475741.

It is an arithmetic number, because the mean of its divisors is an integer number (86633756145).

Almost surely, 21303443340033 is an apocalyptic number.

It is an amenable number.

1303443340033 is a deficient number, since it is larger than the sum of its proper divisors (82696758287).

1303443340033 is a wasteful number, since it uses less digits than its factorization.

1303443340033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140996.

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 1303443340033 its reverse (3300433443031), we get a palindrome (4603876783064).

The spelling of 1303443340033 in words is "one trillion, three hundred three billion, four hundred forty-three million, three hundred forty thousand, thirty-three".

Divisors: 1 17 257 2153 4369 36601 138569 553321 2355673 9406457 35612233 298339057 605407961 5071763969 76673137649 1303443340033