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1010112211113 = 3103331229837
BaseRepresentation
bin11101011001011110110…
…00010010100010101001
310120120021110022222022120
432230233120102202221
5113022202211223423
62052012242141453
7132656344062045
oct16545730224251
93516243288276
101010112211113
1135a428011865
12143924651889
137433a2b3905
1436c65459025
151b41e3dbee3
hexeb2f6128a9

1010112211113 has 24 divisors (see below), whose sum is σ = 1364058730944. Its totient is φ = 664833201120.

The previous prime is 1010112211099. The next prime is 1010112211127. The reversal of 1010112211113 is 3111122110101.

1010112211113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010112211099) and next prime (1010112211127).

It is not a de Polignac number, because 1010112211113 - 25 = 1010112211081 is a prime.

It is a super-3 number, since 3×10101122111133 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010112211092 and 1010112211101.

It is not an unprimeable number, because it can be changed into a prime (1010112211193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33839431 + ... + 33869267.

It is an arithmetic number, because the mean of its divisors is an integer number (56835780456).

Almost surely, 21010112211113 is an apocalyptic number.

It is an amenable number.

1010112211113 is a deficient number, since it is larger than the sum of its proper divisors (353946519831).

1010112211113 is an equidigital number, since it uses as much as digits as its factorization.

1010112211113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30605 (or 30274 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1010112211113 its reverse (3111122110101), we get a palindrome (4121234321214).

The spelling of 1010112211113 in words is "one trillion, ten billion, one hundred twelve million, two hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 103 309 331 993 29837 34093 89511 102279 109561 328683 3073211 9219633 9876047 11284783 29628141 33854349 1017232841 3051698523 3268971557 9806914671 336704070371 1010112211113