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2320301023232 = 2132335934303
BaseRepresentation
bin100001110000111100101…
…101111110000000000000
322012211002202201201012112
4201300330231332000000
5301003434030220412
64533533115314452
7326431136165153
oct41607455760000
98184082651175
102320301023232
1181504148a335
1231583414ba28
1313aa5a23635a
1480435c75c9a
1540552a69722
hex21c3cb7e000

2320301023232 has 112 divisors (see below), whose sum is σ = 4855701012480. Its totient is φ = 1106585812992.

The previous prime is 2320301023207. The next prime is 2320301023283. The reversal of 2320301023232 is 2323201030232.

It is a super-2 number, since 2×23203010232322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2320301023198 and 2320301023207.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 67624193 + ... + 67658495.

Almost surely, 22320301023232 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 2320301023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427850506240).

2320301023232 is an abundant number, since it is smaller than the sum of its proper divisors (2535399989248).

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

2320301023232 is an equidigital number, since it uses as much as digits as its factorization.

2320301023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34711 (or 34687 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2320301023232 its reverse (2323201030232), we get a palindrome (4643502053464).

The spelling of 2320301023232 in words is "two trillion, three hundred twenty billion, three hundred one million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 359 368 512 718 736 1024 1436 1472 2048 2872 2944 4096 5744 5888 8192 8257 11488 11776 16514 22976 23552 33028 34303 45952 47104 66056 68606 91904 94208 132112 137212 183808 188416 264224 274424 367616 528448 548848 735232 788969 1056896 1097696 1470464 1577938 2113792 2195392 2940928 3155876 4227584 4390784 6311752 8455168 8781568 12314777 12623504 16910336 17563136 24629554 25247008 33820672 35126272 49259108 50494016 67641344 70252544 98518216 100988032 140505088 197036432 201976064 281010176 283239871 394072864 403952128 566479742 788145728 807904256 1132959484 1576291456 1615808512 2265918968 3152582912 3231617024 4531837936 6305165824 6463234048 9063675872 12610331648 18127351744 25220663296 36254703488 50441326592 72509406976 100882653184 145018813952 290037627904 580075255808 1160150511616 2320301023232