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1120222211024 = 2473598938873
BaseRepresentation
bin10000010011010010011…
…100100110101111010000
310222002111012201112012102
4100103102130212233100
5121323203341223044
62214342321415532
7143635102454000
oct20232234465720
93862435645172
101120222211024
113a20a1263494
1216113419a5a8
1381837515b07
143c30d0b4000
151e215eb224e
hex104d2726bd0

1120222211024 has 160 divisors (see below), whose sum is σ = 2603003040000. Its totient is φ = 466643122176.

The previous prime is 1120222210999. The next prime is 1120222211033. The reversal of 1120222211024 is 4201122220211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120222210987 and 1120222211005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28798052 + ... + 28836924.

It is an arithmetic number, because the mean of its divisors is an integer number (16268769000).

Almost surely, 21120222211024 is an apocalyptic number.

1120222211024 is a gapful number since it is divisible by the number (14) 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 1120222211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301501520000).

1120222211024 is an abundant number, since it is smaller than the sum of its proper divisors (1482780828976).

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

1120222211024 is an equidigital number, since it uses as much as digits as its factorization.

1120222211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39050 (or 39030 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1120222211024 its reverse (4201122220211), we get a palindrome (5321344431235).

The spelling of 1120222211024 in words is "one trillion, one hundred twenty billion, two hundred twenty-two million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 89 98 112 118 178 196 236 343 356 392 413 472 623 686 712 784 826 944 1246 1372 1424 1652 2492 2744 2891 3304 4361 4984 5251 5488 5782 6608 8722 9968 10502 11564 17444 20237 21004 23128 30527 34888 36757 38873 40474 42008 46256 61054 69776 73514 77746 80948 84016 122108 147028 155492 161896 244216 257299 272111 294056 310984 323792 488432 514598 544222 588112 621968 1029196 1088444 1801093 1904777 2058392 2176888 2293507 3459697 3602186 3809554 4116784 4353776 4587014 6919394 7204372 7619108 9174028 13333439 13838788 14408744 15238216 16054549 18348056 24217879 26666878 27677576 28817488 30476432 32109098 36696112 48435758 53333756 55355152 64218196 96871516 106667512 112381843 128436392 169525153 193743032 204122123 213335024 224763686 256872784 339050306 387486064 408244246 449527372 678100612 786672901 816488492 899054744 1186676071 1356201224 1428854861 1573345802 1632976984 1798109488 2373352142 2712402448 2857709722 3146691604 3265953968 4746704284 5715419444 6293383208 9493408568 10001984027 11430838888 12586766416 18986817136 20003968054 22861677776 40007936108 70013888189 80015872216 140027776378 160031744432 280055552756 560111105512 1120222211024