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1010112122227 = 131783304918061
BaseRepresentation
bin11101011001011110101…
…11111100110101110011
310120120021110011110101111
432230233113330311303
5113022202200402402
62052012240214151
7132656343241645
oct16545727746563
93516243143344
101010112122227
1135a427a60aaa
1214392460a357
137433a282310
1436c65434895
151b41e3c09d7
hexeb2f5fcd73

1010112122227 has 32 divisors (see below), whose sum is σ = 1166126068800. Its totient is φ = 866658078720.

The previous prime is 1010112122219. The next prime is 1010112122249. The reversal of 1010112122227 is 7222212110101.

It is a cyclic number.

It is not a de Polignac number, because 1010112122227 - 23 = 1010112122219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010112122198 and 1010112122207.

It is not an unprimeable number, because it can be changed into a prime (1010112123227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55918777 + ... + 55936837.

It is an arithmetic number, because the mean of its divisors is an integer number (36441439650).

Almost surely, 21010112122227 is an apocalyptic number.

1010112122227 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1010112122227 is a deficient number, since it is larger than the sum of its proper divisors (156013946573).

1010112122227 is a wasteful number, since it uses less digits than its factorization.

1010112122227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21223.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 1010112122227 its reverse (7222212110101), we get a palindrome (8232324232328).

The spelling of 1010112122227 in words is "one trillion, ten billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty-seven".

Divisors: 1 13 17 83 221 1079 1411 3049 18061 18343 39637 51833 234793 253067 307037 673829 1499063 3289871 3991481 4302139 19487819 25484071 55067989 55927807 331292923 715883857 936155813 4570643087 12170025569 59418360131 77700932479 1010112122227