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2320031120 = 245113138423
BaseRepresentation
bin1000101001001000…
…1101110110010000
312222200112210101112
42022102031312100
514222411443440
61022114152452
7111330640061
oct21222156620
95880483345
102320031120
11a906627a0
12548b82728
132ac8697a4
141801a4568
15d8a2b965
hex8a48dd90

2320031120 has 80 divisors (see below), whose sum is σ = 5903943552. Its totient is φ = 840852480.

The previous prime is 2320031113. The next prime is 2320031179. The reversal of 2320031120 is 211300232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2320031095 and 2320031104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271229 + ... + 279651.

Almost surely, 22320031120 is an apocalyptic number.

2320031120 is a gapful number since it is divisible by the number (20) 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 2320031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951971776).

2320031120 is an abundant number, since it is smaller than the sum of its proper divisors (3583912432).

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

2320031120 is a wasteful number, since it uses less digits than its factorization.

2320031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2320031120 is about 48166.7013610025. The cubic root of 2320031120 is about 1323.8271087333.

Adding to 2320031120 its reverse (211300232), we get a palindrome (2531331352).

The spelling of 2320031120 in words is "two billion, three hundred twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 313 440 626 880 1252 1565 2504 3130 3443 5008 6260 6886 8423 12520 13772 16846 17215 25040 27544 33692 34430 42115 55088 67384 68860 84230 92653 134768 137720 168460 185306 275440 336920 370612 463265 673840 741224 926530 1482448 1853060 2636399 3706120 5272798 7412240 10545596 13181995 21091192 26363990 29000389 42182384 52727980 58000778 105455960 116001556 145001945 210911920 232003112 290003890 464006224 580007780 1160015560 2320031120