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1111103222101 = 101113106191757
BaseRepresentation
bin10000001010110010111…
…010011011000101010101
310221012221200201220001221
4100022302322123011111
5121201014411101401
62210233410050341
7143163113362315
oct20126272330525
93835850656057
101111103222101
11399241891104
1215b40a2799b1
1380a13203b92
143bac5d67445
151dd8062e7a1
hex102b2e9b155

1111103222101 has 16 divisors (see below), whose sum is σ = 1133113669488. Its totient is φ = 1089327232000.

The previous prime is 1111103222087. The next prime is 1111103222189. The reversal of 1111103222101 is 1012223011111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 115159101201 + 995944120900 = 339351^2 + 997970^2 .

It is not a de Polignac number, because 1111103222101 - 27 = 1111103221973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111103222401) 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 15 ways as a sum of consecutive naturals, for example, 12063315 + ... + 12155071.

It is an arithmetic number, because the mean of its divisors is an integer number (70819604343).

Almost surely, 21111103222101 is an apocalyptic number.

It is an amenable number.

1111103222101 is a deficient number, since it is larger than the sum of its proper divisors (22010447387).

1111103222101 is a wasteful number, since it uses less digits than its factorization.

1111103222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93032.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1111103222101 its reverse (1012223011111), we get a palindrome (2123326233212).

The spelling of 1111103222101 in words is "one trillion, one hundred eleven billion, one hundred three million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 101 113 1061 11413 91757 107161 119893 9267457 10368541 12109193 97354177 1047222641 9832771877 11001022001 1111103222101