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1120323223032 = 2331313128396857
BaseRepresentation
bin10000010011011000011…
…101111011110111111000
310222002202020210110121220
4100103120131323313320
5121323410221114112
62214400330432040
7143640440162436
oct20233035736770
93862666713556
101120323223032
113a2143286292
12161161b92620
1381852422130
143c31c689d56
151e21ecb698c
hex104d877bdf8

1120323223032 has 128 divisors (see below), whose sum is σ = 3050050671360. Its totient is φ = 340871132160.

The previous prime is 1120323222973. The next prime is 1120323223057. The reversal of 1120323223032 is 2303223230211.

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 = 1120323222993 and 1120323223011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11518348 + ... + 11615204.

It is an arithmetic number, because the mean of its divisors is an integer number (23828520870).

Almost surely, 21120323223032 is an apocalyptic number.

1120323223032 is a gapful number since it is divisible by the number (12) 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 1120323223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525025335680).

1120323223032 is an abundant number, since it is smaller than the sum of its proper divisors (1929727448328).

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

1120323223032 is a wasteful number, since it uses less digits than its factorization.

1120323223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97293 (or 97289 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1120323223032 its reverse (2303223230211), we get a palindrome (3423546453243).

The spelling of 1120323223032 in words is "one trillion, one hundred twenty billion, three hundred twenty-three million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 131 156 262 283 312 393 524 566 786 849 1048 1132 1572 1698 1703 2264 3144 3396 3406 3679 5109 6792 6812 7358 10218 11037 13624 14716 20436 22074 29432 37073 40872 44148 74146 88296 96857 111219 148292 193714 222438 290571 296584 387428 444876 481949 581142 774856 889752 963898 1162284 1259141 1445847 1927796 2324568 2518282 2891694 3777423 3855592 5036564 5783388 7554846 10073128 11566776 12688267 15109692 25376534 27410531 30219384 38064801 50753068 54821062 76129602 82231593 101506136 109642124 152259204 164463186 164947471 219284248 304518408 328926372 329894942 356336903 494842413 657852744 659789884 712673806 989684826 1069010709 1319579768 1425347612 1979369652 2138021418 2850695224 3590779561 3958739304 4276042836 7181559122 8552085672 10772338683 14363118244 21544677366 28726236488 43089354732 46680134293 86178709464 93360268586 140040402879 186720537172 280080805758 373441074344 560161611516 1120323223032