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10111221100033 is a prime number
BaseRepresentation
bin1001001100100011001110…
…1111011110111000000001
31022210121211101100112112121
42103020303233132320001
52311130240100200113
633301010355124241
72062340325163204
oct223106357367001
938717741315477
1010111221100033
113249165791709
1211737575a3681
1358463a626911
1426d55857593b
15128039342e8d
hex93233bdee01

10111221100033 has 2 divisors, whose sum is σ = 10111221100034. Its totient is φ = 10111221100032.

The previous prime is 10111221100009. The next prime is 10111221100061. The reversal of 10111221100033 is 33000112211101.

It is a happy number.

10111221100033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6478205933824 + 3633015166209 = 2545232^2 + 1906047^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111221100033 - 225 = 10111187545601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111221170033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055610550016 + 5055610550017.

It is an arithmetic number, because the mean of its divisors is an integer number (5055610550017).

Almost surely, 210111221100033 is an apocalyptic number.

It is an amenable number.

10111221100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111221100033 is an equidigital number, since it uses as much as digits as its factorization.

10111221100033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10111221100033 its reverse (33000112211101), we get a palindrome (43111333311134).

The spelling of 10111221100033 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one million, one hundred thousand, thirty-three".