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1010233112213 = 13175821785293
BaseRepresentation
bin11101011001101101001…
…01011111011010010101
310120120120212211101110002
432230312211133122111
5113022424134042323
62052032241341045
7132662342525303
oct16546645373225
93516525741402
101010233112213
1135a48a289626
12143959037785
1374359364a20
1436c7752b273
151b429d1e828
hexeb3695f695

1010233112213 has 16 divisors (see below), whose sum is σ = 1152139380336. Its totient is φ = 877516692480.

The previous prime is 1010233112159. The next prime is 1010233112249. The reversal of 1010233112213 is 3122113320101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1909864804 + 1008323247409 = 43702^2 + 1004153^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010233112213 - 222 = 1010228917909 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 (1040233112213) 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, 893795 + ... + 1679087.

It is an arithmetic number, because the mean of its divisors is an integer number (72008711271).

Almost surely, 21010233112213 is an apocalyptic number.

1010233112213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010233112213 is a deficient number, since it is larger than the sum of its proper divisors (141906268123).

1010233112213 is a wasteful number, since it uses less digits than its factorization.

1010233112213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791144.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1010233112213 its reverse (3122113320101), we get a palindrome (4132346432314).

The spelling of 1010233112213 in words is "one trillion, ten billion, two hundred thirty-three million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 13 17 221 5821 75673 98957 785293 1286441 10208809 13349981 173549753 4571190553 59425477189 77710239401 1010233112213