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1011100011201 = 3377967718171
BaseRepresentation
bin11101011011010100100…
…00011100101011000001
310120122211022001102022000
432231222100130223001
5113031213100324301
62052254250134213
7133023000201510
oct16555220345301
93518738042260
101011100011201
1135a894662675
12143b5b421369
1374466b3bac7
1436d1a70c677
151b47aead786
hexeb6a41cac1

1011100011201 has 32 divisors (see below), whose sum is σ = 1733585203200. Its totient is φ = 570457864080.

The previous prime is 1011100011179. The next prime is 1011100011217. The reversal of 1011100011201 is 1021100011101.

It is not a de Polignac number, because 1011100011201 - 26 = 1011100011137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1011100011001) 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 in 31 ways as a sum of consecutive naturals, for example, 33844155 + ... + 33874016.

It is an arithmetic number, because the mean of its divisors is an integer number (54174537600).

Almost surely, 21011100011201 is an apocalyptic number.

It is an amenable number.

1011100011201 is a deficient number, since it is larger than the sum of its proper divisors (722485191999).

1011100011201 is an equidigital number, since it uses as much as digits as its factorization.

1011100011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67718266 (or 67718260 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011100011201 its reverse (1021100011101), we get a palindrome (2032200022302).

The spelling of 1011100011201 in words is "one trillion, eleven billion, one hundred million, eleven thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 79 189 237 553 711 1659 2133 4977 14931 67718171 203154513 474027197 609463539 1422081591 1828390617 4266244773 5349735509 12798734319 16049206527 37448148563 48147619581 112344445689 144442858743 337033337067 1011100011201