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2320330330032 = 2431113461733283
BaseRepresentation
bin100001110000111110011…
…101110000111110110000
322012211011210212122120120
4201300332131300332300
5301004014031030112
64533540043410240
7326431643245551
oct41607635607660
98184153778516
102320330330032
11815056a86a30
12315841b23980
1313aa63327960
1480439b04328
1540555407e8c
hex21c3e770fb0

2320330330032 has 160 divisors (see below), whose sum is σ = 7057406797056. Its totient is φ = 647634662400.

The previous prime is 2320330329997. The next prime is 2320330330033. The reversal of 2320330330032 is 2300330330232.

It is a super-2 number, since 2×23203303300322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2320330329984 and 2320330330011.

It is not an unprimeable number, because it can be changed into a prime (2320330330033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2797663 + ... + 3530945.

Almost surely, 22320330330032 is an apocalyptic number.

2320330330032 is a gapful number since it is divisible by the number (22) 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 2320330330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528703398528).

2320330330032 is an abundant number, since it is smaller than the sum of its proper divisors (4737076467024).

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

2320330330032 is a wasteful number, since it uses less digits than its factorization.

2320330330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733779 (or 733773 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 2320330330032 its reverse (2300330330232), we get a palindrome (4620660660264).

The spelling of 2320330330032 in words is "two trillion, three hundred twenty billion, three hundred thirty million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 461 528 572 624 858 922 1144 1383 1716 1844 2288 2766 3432 3688 5071 5532 5993 6864 7376 10142 11064 11986 15213 17979 20284 22128 23972 30426 35958 40568 47944 60852 65923 71916 81136 95888 121704 131846 143832 197769 243408 263692 287664 395538 527384 733283 791076 1054768 1466566 1582152 2199849 2933132 3164304 4399698 5866264 8066113 8799396 9532679 11732528 16132226 17598792 19065358 24198339 28598037 32264452 35197584 38130716 48396678 57196074 64528904 76261432 96793356 104859469 114392148 129057808 152522864 193586712 209718938 228784296 314578407 338043463 387173424 419437876 457568592 629156814 676086926 838875752 1014130389 1258313628 1352173852 1677751504 2028260778 2516627256 2704347704 3718478093 4056521556 4394565019 5033254512 5408695408 7436956186 8113043112 8789130038 11155434279 13183695057 14873912372 16226086224 17578260076 22310868558 26367390114 29747824744 35156520152 44621737116 48340215209 52734780228 59495649488 70313040304 89243474232 96680430418 105469560456 145020645627 178486948464 193360860836 210939120912 290041291254 386721721672 580082582508 773443443344 1160165165016 2320330330032