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113221430388 = 2232111947353907
BaseRepresentation
bin110100101110010000…
…1011110110001110100
3101211020121002121002200
41221130201132301310
53323334141233023
6124002504104500
711115506164533
oct1513441366164
9354217077080
10113221430388
1144020600480
1219b39765130
13a8a4a2cc31
1456a0d8a31a
152e29d2a743
hex1a5c85ec74

113221430388 has 288 divisors, whose sum is σ = 336963594240. Its totient is φ = 31687096320.

The previous prime is 113221430351. The next prime is 113221430389. The reversal of 113221430388 is 883034122311.

113221430388 is a `hidden beast` number, since 1 + 1 + 32 + 214 + 30 + 388 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113221430389) 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 95 ways as a sum of consecutive naturals, for example, 124830231 + ... + 124831137.

It is an arithmetic number, because the mean of its divisors is an integer number (1170012480).

Almost surely, 2113221430388 is an apocalyptic number.

113221430388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113221430388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168481797120).

113221430388 is an abundant number, since it is smaller than the sum of its proper divisors (223742163852).

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

113221430388 is a wasteful number, since it uses less digits than its factorization.

113221430388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 113221430388 its reverse (883034122311), we get a palindrome (996255552699).

The spelling of 113221430388 in words is "one hundred thirteen billion, two hundred twenty-one million, four hundred thirty thousand, three hundred eighty-eight".