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1120220331032 = 23112310315493469
BaseRepresentation
bin10000010011010010010…
…101011011110000011000
310222002111002012000100002
4100103102111123300120
5121323202401043112
62214342213232132
7143635050463655
oct20232225336030
93862432160302
101120220331032
113a20a0199a80
12161133632648
13818370081aa
143c30cb44c2c
151e215c401c2
hex104d255bc18

1120220331032 has 128 divisors (see below), whose sum is σ = 2416452480000. Its totient is φ = 481873328640.

The previous prime is 1120220330959. The next prime is 1120220331071. The reversal of 1120220331032 is 2301330220211.

It is a junction number, because it is equal to n+sod(n) for n = 1120220330995 and 1120220331013.

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 31 ways as a sum of consecutive naturals, for example, 322921394 + ... + 322924862.

It is an arithmetic number, because the mean of its divisors is an integer number (18878535000).

Almost surely, 21120220331032 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 1120220331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208226240000).

1120220331032 is an abundant number, since it is smaller than the sum of its proper divisors (1296232148968).

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

1120220331032 is a wasteful number, since it uses less digits than its factorization.

1120220331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1120220331032 its reverse (2301330220211), we get a palindrome (3421550551243).

The spelling of 1120220331032 in words is "one trillion, one hundred twenty billion, two hundred twenty million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 103 184 206 253 412 506 824 1012 1133 1549 2024 2266 2369 3098 3469 4532 4738 6196 6938 9064 9476 12392 13876 17039 18952 26059 27752 34078 35627 38159 52118 68156 71254 76318 79787 104236 136312 142508 152636 159547 159574 208472 285016 305272 319094 319148 357307 391897 638188 638296 714614 783794 877657 1276376 1429228 1567588 1755017 1755314 2858456 3135176 3510034 3510628 3669581 3930377 5373481 7020068 7021256 7339162 7860754 8218061 10746962 14040136 14678324 15721508 16436122 21493924 29356648 31443016 32872244 40365391 42987848 59108291 65744488 80730782 90398671 118216582 123590063 161461564 180797342 236433164 247180126 322923128 361594684 472866328 494360252 553468543 723189368 988720504 1106937086 1359490693 2213874172 2718981386 4427748344 5437962772 6088153973 10875925544 12176307946 12729776489 24352615892 25459552978 48705231784 50919105956 101838211912 140027541379 280055082758 560110165516 1120220331032