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1111012000033 = 134211249162529
BaseRepresentation
bin10000001010101101011…
…110011100000100100001
310221012201100002022220211
4100022231132130010201
5121200323033000113
62210220350534121
7143160625116625
oct20125536340441
93835640068824
101111012000033
113991a5345671
1215b3a3807341
13809ca344920
143bab7bbd185
151dd77610b3d
hex102ad79c121

1111012000033 has 16 divisors (see below), whose sum is σ = 1200284050000. Its totient is φ = 1022288117760.

The previous prime is 1111012000027. The next prime is 1111012000079. The reversal of 1111012000033 is 3300002101111.

It can be written as a sum of positive squares in 8 ways, for example, as 336089191824 + 774922808209 = 579732^2 + 880297^2 .

It is a de Polignac number, because none of the positive numbers 2k-1111012000033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1111011999977 and 1111012000022.

It is not an unprimeable number, because it can be changed into a prime (1111012003033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6754513 + ... + 6917041.

It is an arithmetic number, because the mean of its divisors is an integer number (75017753125).

Almost surely, 21111012000033 is an apocalyptic number.

1111012000033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1111012000033 is a deficient number, since it is larger than the sum of its proper divisors (89272049967).

1111012000033 is a wasteful number, since it uses less digits than its factorization.

1111012000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164212.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1111012000033 its reverse (3300002101111), we get a palindrome (4411014101144).

The spelling of 1111012000033 in words is "one trillion, one hundred eleven billion, twelve million, thirty-three", and thus it is an aban number.

Divisors: 1 13 421 1249 5473 16237 162529 525829 2112877 6835777 68424709 202998721 889521217 2638983373 85462461541 1111012000033