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113130320202 = 23223229174073
BaseRepresentation
bin110100101011100010…
…1111011000101001010
3101211000020122201102100
41221113011323011022
53323142330221302
6123545451214230
711113321566264
oct1512705730512
9354006581370
10113130320202
1143a84130aa9
1219b13147376
13a88bbac893
145692c30b34
152e21d2ed1c
hex1a5717b14a

113130320202 has 72 divisors (see below), whose sum is σ = 256387029444. Its totient is φ = 36049318272.

The previous prime is 113130320143. The next prime is 113130320207. The reversal of 113130320202 is 202023031311.

113130320202 is a `hidden beast` number, since 1 + 13 + 130 + 320 + 202 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110655357201 + 2474963001 = 332649^2 + 49749^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113130320207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27773638 + ... + 27777710.

Almost surely, 2113130320202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113130320202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128193514722).

113130320202 is an abundant number, since it is smaller than the sum of its proper divisors (143256709242).

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

113130320202 is a wasteful number, since it uses less digits than its factorization.

113130320202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113130320202 its reverse (202023031311), we get a palindrome (315153351513).

The spelling of 113130320202 in words is "one hundred thirteen billion, one hundred thirty million, three hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 2917 3174 4073 4761 5834 8146 8751 9522 12219 17502 24438 26253 36657 52506 67091 73314 93679 134182 187358 201273 281037 402546 562074 603819 843111 1207638 1543093 1686222 2154617 3086186 4309234 4629279 6463851 9258558 11880941 12927702 13887837 19391553 23761882 27775674 35642823 38783106 71285646 106928469 213856938 273261643 546523286 819784929 1639569858 2459354787 4918709574 6285017789 12570035578 18855053367 37710106734 56565160101 113130320202