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1101111978353 is a prime number
BaseRepresentation
bin10000000001011111011…
…000110110100101110001
310220021011101110010021012
4100001133120312211301
5121020034131301403
62201502135040305
7142360403246642
oct20013730664561
93807141403235
101101111978353
11394a85007872
121594a0210095
137cab029112a
143b4190436c9
151d998400ed8
hex1005f636971

1101111978353 has 2 divisors, whose sum is σ = 1101111978354. Its totient is φ = 1101111978352.

The previous prime is 1101111978341. The next prime is 1101111978367. The reversal of 1101111978353 is 3538791111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 993873412624 + 107238565729 = 996932^2 + 327473^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101111978353 - 226 = 1101044869489 is a prime.

It is a super-3 number, since 3×11011119783533 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1101111978353.

It is not a weakly prime, because it can be changed into another prime (1101111978553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550555989176 + 550555989177.

It is an arithmetic number, because the mean of its divisors is an integer number (550555989177).

Almost surely, 21101111978353 is an apocalyptic number.

It is an amenable number.

1101111978353 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101111978353 is an equidigital number, since it uses as much as digits as its factorization.

1101111978353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 41.

The spelling of 1101111978353 in words is "one trillion, one hundred one billion, one hundred eleven million, nine hundred seventy-eight thousand, three hundred fifty-three".