Search a number
-
+
1120705007112 = 233322922656983
BaseRepresentation
bin10000010011101111001…
…110010100111000001000
310222010201212012002221000
4100103233032110320020
5121330200440211422
62214502245415000
7143653054245525
oct20235716247010
93863655162830
101120705007112
113a231983a319
12161249a0a460
13818b3556382
143c35726c14c
151e24357ccac
hex104ef394e08

1120705007112 has 64 divisors (see below), whose sum is σ = 3126663792000. Its totient is φ = 371937016512.

The previous prime is 1120705007089. The next prime is 1120705007119. The reversal of 1120705007112 is 2117005070211.

1120705007112 is a `hidden beast` number, since 1 + 1 + 20 + 70 + 500 + 71 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1120705007119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11279028 + ... + 11377955.

It is an arithmetic number, because the mean of its divisors is an integer number (48854121750).

Almost surely, 21120705007112 is an apocalyptic number.

1120705007112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1120705007112 is an abundant number, since it is smaller than the sum of its proper divisors (2005958784888).

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

1120705007112 is a wasteful number, since it uses less digits than its factorization.

1120705007112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22657227 (or 22657217 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The spelling of 1120705007112 in words is "one trillion, one hundred twenty billion, seven hundred five million, seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1374 1832 2061 2748 4122 5496 6183 8244 12366 16488 24732 49464 22656983 45313966 67970949 90627932 135941898 181255864 203912847 271883796 407825694 543767592 611738541 815651388 1223477082 1631302776 2446954164 4893908328 5188449107 10376898214 15565347321 20753796428 31130694642 41507592856 46696041963 62261389284 93392083926 124522778568 140088125889 186784167852 280176251778 373568335704 560352503556 1120705007112