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1303022002221 = 321429101315761
BaseRepresentation
bin10010111101100010001…
…010011110000000101101
311121120022211210001221100
4102331202022132000231
5132322042113032341
62434333335353313
7163066046162442
oct22754212360055
94546284701840
101303022002221
11462676a50195
1219064b522839
1395b4a213534
14470d0a7b9c9
1523d643b33b6
hex12f6229e02d

1303022002221 has 12 divisors (see below), whose sum is σ = 1883460015580. Its totient is φ = 868073431680.

The previous prime is 1303022002211. The next prime is 1303022002339. The reversal of 1303022002221 is 1222002203031.

It can be written as a sum of positive squares in 2 ways, for example, as 546696093321 + 756325908900 = 739389^2 + 869670^2 .

It is not a de Polignac number, because 1303022002221 - 221 = 1303019905069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303022002194 and 1303022002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303022002211) 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 11 ways as a sum of consecutive naturals, for example, 50645020 + ... + 50670741.

Almost surely, 21303022002221 is an apocalyptic number.

It is an amenable number.

1303022002221 is a deficient number, since it is larger than the sum of its proper divisors (580438013359).

1303022002221 is a wasteful number, since it uses less digits than its factorization.

1303022002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101317196 (or 101317193 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1303022002221 its reverse (1222002203031), we get a palindrome (2525024205252).

The spelling of 1303022002221 in words is "one trillion, three hundred three billion, twenty-two million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 1429 4287 12861 101315761 303947283 911841849 144780222469 434340667407 1303022002221