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1012112102221 = 111731174592393
BaseRepresentation
bin11101011101001101001…
…01010001001101001101
310120202102211110222011121
432232212211101031031
5113040301144232341
62052542522520541
7133060036631263
oct16564645211515
93522384428147
101012112102221
11360263994630
121441a2366151
137459872052c
1436db4cc6433
151b4d9c7c4d1
hexeba695134d

1012112102221 has 16 divisors (see below), whose sum is σ = 1206782627328. Its totient is φ = 838043481600.

The previous prime is 1012112102219. The next prime is 1012112102311. The reversal of 1012112102221 is 1222012112101.

It is a cyclic number.

It is not a de Polignac number, because 1012112102221 - 21 = 1012112102219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012112102195 and 1012112102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012112162221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87290400 + ... + 87301993.

It is an arithmetic number, because the mean of its divisors is an integer number (75423914208).

Almost surely, 21012112102221 is an apocalyptic number.

1012112102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012112102221 is a deficient number, since it is larger than the sum of its proper divisors (194670525107).

1012112102221 is a wasteful number, since it uses less digits than its factorization.

1012112102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174592452.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1012112102221 its reverse (1222012112101), we get a palindrome (2234124214322).

The spelling of 1012112102221 in words is "one trillion, twelve billion, one hundred twelve million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 11 17 31 187 341 527 5797 174592393 1920516323 2968070681 5412364183 32648777491 59536006013 92010191111 1012112102221