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1303133310301 = 73137801716253
BaseRepresentation
bin10010111101101000110…
…011000100110101011101
311121120121121020002220211
4102331220303010311131
5132322304111412201
62434352353212421
7163101600243004
oct22755063046535
94546547202824
101303133310301
11462723865639
12190680861111
1395b672b60c4
1447101773c3b
1523d6e04d651
hex12f68cc4d5d

1303133310301 has 16 divisors (see below), whose sum is σ = 1330874529264. Its totient is φ = 1275662905344.

The previous prime is 1303133310293. The next prime is 1303133310337. The reversal of 1303133310301 is 1030133313031.

It can be written as a sum of positive squares in 8 ways, for example, as 59451118276 + 1243682192025 = 243826^2 + 1115205^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303133310301 - 23 = 1303133310293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303133310371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80169891 + ... + 80186143.

It is an arithmetic number, because the mean of its divisors is an integer number (83179658079).

Almost surely, 21303133310301 is an apocalyptic number.

It is an amenable number.

1303133310301 is a deficient number, since it is larger than the sum of its proper divisors (27741218963).

1303133310301 is a wasteful number, since it uses less digits than its factorization.

1303133310301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24480.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 1303133310301 its reverse (1030133313031), we get a palindrome (2333266623332).

The spelling of 1303133310301 in words is "one trillion, three hundred three billion, one hundred thirty-three million, three hundred ten thousand, three hundred one".

Divisors: 1 73 137 8017 10001 16253 585241 1098329 1186469 2226661 80178017 130300301 162546253 9511921973 17851141237 1303133310301