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2301113112 = 2332910332099
BaseRepresentation
bin1000100100101000…
…0011001100011000
312221100221122202120
42021022003030120
514203041104422
61020200501240
7111011065404
oct21112031430
95840848676
102301113112
11a80a11381
1254277a820
132a89749bc
1417b87c104
15d704145c
hex89283318

2301113112 has 64 divisors (see below), whose sum is σ = 6009120000. Its totient is φ = 733375104.

The previous prime is 2301113107. The next prime is 2301113147. The reversal of 2301113112 is 2113111032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2301113091 and 2301113100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55639 + ... + 87737.

It is an arithmetic number, because the mean of its divisors is an integer number (93892500).

Almost surely, 22301113112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004560000).

2301113112 is an abundant number, since it is smaller than the sum of its proper divisors (3708006888).

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

2301113112 is a wasteful number, since it uses less digits than its factorization.

2301113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32240 (or 32236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2301113112 is about 47969.9188241965. The cubic root of 2301113112 is about 1320.2190316057.

Adding to 2301113112 its reverse (2113111032), we get a palindrome (4414224144).

The spelling of 2301113112 in words is "two billion, three hundred one million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 103 116 174 206 232 309 348 412 618 696 824 1236 2472 2987 5974 8961 11948 17922 23896 32099 35844 64198 71688 96297 128396 192594 256792 385188 770376 930871 1861742 2792613 3306197 3723484 5585226 6612394 7446968 9918591 11170452 13224788 19837182 22340904 26449576 39674364 79348728 95879713 191759426 287639139 383518852 575278278 767037704 1150556556 2301113112