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1120610670921 = 387218672
BaseRepresentation
bin10000010011101001100…
…110011101100101001001
310222010111021200100000000
4100103221212131211021
5121330002312432141
62214445035433213
7143650530353100
oct20235146354511
93863437610000
101120610670921
113a2280567125
121612222b5809
1381899b46841
143c348913037
151e23a1465b6
hex104e999d949

1120610670921 has 81 divisors (see below), whose sum is σ = 1956299760909. Its totient is φ = 640005971976.

The previous prime is 1120610670847. The next prime is 1120610670929. The reversal of 1120610670921 is 1290760160211.

The square root of 1120610670921 is 1058589.

It is a perfect power (a square), and thus also a powerful number.

1120610670921 is a `hidden beast` number, since 1 + 12 + 0 + 610 + 6 + 7 + 0 + 9 + 21 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1120610670921 - 27 = 1120610670793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1120610670929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 600219030 + ... + 600220896.

Almost surely, 21120610670921 is an apocalyptic number.

1120610670921 is the 1058589-th square number.

1120610670921 is the 529295-th centered octagonal number.

It is an amenable number.

1120610670921 is a deficient number, since it is larger than the sum of its proper divisors (835689089988).

1120610670921 is an frugal number, since it uses more digits than its factorization.

1120610670921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Multiplying 1120610670921 by its sum of digits (36), we get a square (40341984153156 = 63515342).

The spelling of 1120610670921 in words is "one trillion, one hundred twenty billion, six hundred ten million, six hundred seventy thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 1867 2187 3969 5103 5601 6561 11907 13069 15309 16803 35721 39207 45927 50409 91483 107163 117621 151227 274449 321489 352863 453681 823347 1058589 1361043 2470041 3175767 3485689 4083129 7410123 9527301 10457067 12249387 22230369 24399823 28581903 31371201 66691107 73199469 85745709 94113603 170798761 200073321 219598407 282340809 512396283 600219963 658795221 847022427 1537188849 1976385663 2541067281 4611566547 5929156989 7623201843 13834699641 17787470967 22869605529 41504098923 53362412901 124512296769 160087238703 373536890307 1120610670921