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1001102226013 is a prime number
BaseRepresentation
bin11101001000101100101…
…01111011001001011101
310112201000112110022022201
432210112111323021131
5112400224132213023
62043522223011501
7132220150342651
oct16442625731135
93481015408281
101001102226013
1135662412068a
1214202b139b91
1373532748796
143664c9a4a61
151b0933dbbad
hexe91657b25d

1001102226013 has 2 divisors, whose sum is σ = 1001102226014. Its totient is φ = 1001102226012.

The previous prime is 1001102225993. The next prime is 1001102226053. The reversal of 1001102226013 is 3106222011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 946131672249 + 54970553764 = 972693^2 + 234458^2 .

It is an emirp because it is prime and its reverse (3106222011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001102226013 - 213 = 1001102217821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001102226053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500551113006 + 500551113007.

It is an arithmetic number, because the mean of its divisors is an integer number (500551113007).

Almost surely, 21001102226013 is an apocalyptic number.

It is an amenable number.

1001102226013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001102226013 is an equidigital number, since it uses as much as digits as its factorization.

1001102226013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1001102226013 its reverse (3106222011001), we get a palindrome (4107324237014).

The spelling of 1001102226013 in words is "one trillion, one billion, one hundred two million, two hundred twenty-six thousand, thirteen".