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111020020001129 is a prime number
BaseRepresentation
bin11001001111100011011100…
…110110101110100101101001
3112120002102002002010122020102
4121033203130312232211221
5104022423000110014004
61032041520524235145
732245634406465041
oct3117433466564551
9476072062118212
10111020020001129
1132413365006268
121055051009bab5
1349c41b21286c5
141d5b57d198721
15cc7d4384611e
hex64f8dcdae969

111020020001129 has 2 divisors, whose sum is σ = 111020020001130. Its totient is φ = 111020020001128.

The previous prime is 111020020001101. The next prime is 111020020001131. The reversal of 111020020001129 is 921100020020111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83416292095504 + 27603727905625 = 9133252^2 + 5253925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111020020001129 is a prime.

It is a super-2 number, since 2×1110200200011292 (a number of 29 digits) contains 22 as substring.

Together with 111020020001131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111020020001129.

It is not a weakly prime, because it can be changed into another prime (111020020003129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55510010000564 + 55510010000565.

It is an arithmetic number, because the mean of its divisors is an integer number (55510010000565).

Almost surely, 2111020020001129 is an apocalyptic number.

It is an amenable number.

111020020001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111020020001129 is an equidigital number, since it uses as much as digits as its factorization.

111020020001129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 111020020001129 in words is "one hundred eleven trillion, twenty billion, twenty million, one thousand, one hundred twenty-nine".