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1102231120013 is a prime number
BaseRepresentation
bin10000000010100010000…
…110000010100010001101
310220101001101022102000022
4100002202012002202031
5121024332131320023
62202205154111525
7142430212635422
oct20024206024215
93811041272008
101102231120013
113954a9806531
12159752b7b5a5
137cc2b0b462a
143b4c3925d49
151da117b87c8
hex100a218288d

1102231120013 has 2 divisors, whose sum is σ = 1102231120014. Its totient is φ = 1102231120012.

The previous prime is 1102231119989. The next prime is 1102231120033. The reversal of 1102231120013 is 3100211322011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 801923832004 + 300307288009 = 895502^2 + 548003^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102231120013 - 28 = 1102231119757 is a prime.

It is a super-3 number, since 3×11022311200133 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1102231119973 and 1102231120000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1102231120033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551115560006 + 551115560007.

It is an arithmetic number, because the mean of its divisors is an integer number (551115560007).

Almost surely, 21102231120013 is an apocalyptic number.

It is an amenable number.

1102231120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102231120013 is an equidigital number, since it uses as much as digits as its factorization.

1102231120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1102231120013 its reverse (3100211322011), we get a palindrome (4202442442024).

The spelling of 1102231120013 in words is "one trillion, one hundred two billion, two hundred thirty-one million, one hundred twenty thousand, thirteen".