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1116760122 = 23437211883
BaseRepresentation
bin100001010010000…
…0110100000111010
32212211101021220000
41002210012200322
54241342310442
6302452013430
736450206262
oct10244064072
92784337800
101116760122
11523422455
12272001276
1314a49b50a
14a84627a2
1568096d4c
hex4290683a

1116760122 has 80 divisors (see below), whose sum is σ = 2585105952. Its totient is φ = 360067680.

The previous prime is 1116760121. The next prime is 1116760133. The reversal of 1116760122 is 2210676111.

It is a happy number.

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 (1116760121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1264293 + ... + 1265175.

Almost surely, 21116760122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116760122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292552976).

1116760122 is an abundant number, since it is smaller than the sum of its proper divisors (1468345830).

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

1116760122 is a wasteful number, since it uses less digits than its factorization.

1116760122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1116760122 is about 33417.9610688624. The cubic root of 1116760122 is about 1037.4964813739.

It can be divided in two parts, 11167 and 60122, that added together give a square (71289 = 2672).

The spelling of 1116760122 in words is "one billion, one hundred sixteen million, seven hundred sixty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 211 222 333 422 633 666 883 999 1266 1766 1899 1998 2649 2997 3798 5298 5697 5994 7807 7947 11394 15614 15894 17091 23421 23841 32671 34182 46842 47682 65342 70263 71523 98013 140526 143046 186313 196026 210789 294039 372626 421578 558939 588078 632367 882117 1117878 1264734 1676817 1764234 2646351 3353634 5030451 5292702 6893581 10060902 13787162 15091353 20680743 30182706 41361486 62042229 124084458 186126687 372253374 558380061 1116760122