Search a number
-
+
113111401026 = 231310315193239
BaseRepresentation
bin110100101010111110…
…1110000001001000010
3101210221221001112012010
41221111331300021002
53323123004313101
6123543533513350
711113002021321
oct1512575601102
9353857045163
10113111401026
1143a74489818
1219b08942856
13a887cb73c0
1456905080b8
152e203442d6
hex1a55f70242

113111401026 has 64 divisors (see below), whose sum is σ = 247621570560. Its totient is φ = 34236993600.

The previous prime is 113111400959. The next prime is 113111401079. The reversal of 113111401026 is 620104111311.

It is a junction number, because it is equal to n+sod(n) for n = 113111400993 and 113111401011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166515 + ... + 1259753.

It is an arithmetic number, because the mean of its divisors is an integer number (3869087040).

Almost surely, 2113111401026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113111401026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123810785280).

113111401026 is an abundant number, since it is smaller than the sum of its proper divisors (134510169534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113111401026 is a wasteful number, since it uses less digits than its factorization.

113111401026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93511.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 113111401026 its reverse (620104111311), we get a palindrome (733215512337).

The spelling of 113111401026 in words is "one hundred thirteen billion, one hundred eleven million, four hundred one thousand, twenty-six".

Divisors: 1 2 3 6 13 26 39 78 103 151 206 302 309 453 618 906 1339 1963 2678 3926 4017 5889 8034 11778 15553 31106 46659 93239 93318 186478 202189 279717 404378 559434 606567 1212107 1213134 2424214 3636321 7272642 9603617 14079089 19207234 28158178 28810851 42237267 57621702 84474534 124847021 183028157 249694042 366056314 374541063 549084471 749082126 1098168942 1450146167 2900292334 4350438501 8700877002 18851900171 37703800342 56555700513 113111401026