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1303031303221 = 14532467736341
BaseRepresentation
bin10010111101100010101…
…101111100110000110101
311121120100111021121111211
4102331202231330300311
5132322102003200341
62434334311001421
7163066221221164
oct22754255746065
94546314247454
101303031303221
1146268122316a
12190652669271
1395b4c11bb9b
14470d1dbd3db
1523d650ee181
hex12f62b7cc35

1303031303221 has 8 divisors (see below), whose sum is σ = 1304016811704. Its totient is φ = 1302045919680.

The previous prime is 1303031303201. The next prime is 1303031303227. The reversal of 1303031303221 is 1223031303031.

It can be written as a sum of positive squares in 4 ways, for example, as 980050500625 + 322980802596 = 989975^2 + 568314^2 .

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 1303031303221 - 233 = 1294441368629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303031303192 and 1303031303201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303031303227) 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 7 ways as a sum of consecutive naturals, for example, 35837511 + ... + 35873851.

It is an arithmetic number, because the mean of its divisors is an integer number (163002101463).

Almost surely, 21303031303221 is an apocalyptic number.

It is an amenable number.

1303031303221 is a deficient number, since it is larger than the sum of its proper divisors (985508483).

1303031303221 is a wasteful number, since it uses less digits than its factorization.

1303031303221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62471.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1303031303221 its reverse (1223031303031), we get a palindrome (2526062606252).

The spelling of 1303031303221 in words is "one trillion, three hundred three billion, thirty-one million, three hundred three thousand, two hundred twenty-one".

Divisors: 1 1453 24677 36341 35855681 52803473 896786857 1303031303221