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1303223200101 = 321011433688889
BaseRepresentation
bin10010111101101110001…
…001111110100101100101
311121120211212100222112200
4102331232021332211211
5132323000114400401
62434405324005113
7163104041266254
oct22755611764545
94546755328480
101303223200101
1146276a581129
121906a6990799
1395b7cac9b34
144710d69279b
1523d76da7686
hex12f6e27e965

1303223200101 has 12 divisors (see below), whose sum is σ = 1901071468140. Its totient is φ = 860213332800.

The previous prime is 1303223200091. The next prime is 1303223200207. The reversal of 1303223200101 is 1010023223031.

1303223200101 is a `hidden beast` number, since 13 + 0 + 322 + 320 + 0 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1226000348001 + 77222852100 = 1107249^2 + 277890^2 .

It is not a de Polignac number, because 1303223200101 - 215 = 1303223167333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303223202101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716843536 + ... + 716845353.

It is an arithmetic number, because the mean of its divisors is an integer number (158422622345).

Almost surely, 21303223200101 is an apocalyptic number.

It is an amenable number.

1303223200101 is a deficient number, since it is larger than the sum of its proper divisors (597848268039).

1303223200101 is a wasteful number, since it uses less digits than its factorization.

1303223200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433688996 (or 1433688993 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1303223200101 its reverse (1010023223031), we get a palindrome (2313246423132).

The spelling of 1303223200101 in words is "one trillion, three hundred three billion, two hundred twenty-three million, two hundred thousand, one hundred one".

Divisors: 1 3 9 101 303 909 1433688889 4301066667 12903200001 144802577789 434407733367 1303223200101