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1116100668 = 22323832587
BaseRepresentation
bin100001010000110…
…0101100000111100
32212210010210021210
41002201211200330
54241210210133
6302425524420
736441461544
oct10241454074
92783123253
101116100668
11523011a51
12271943710
1314a2ca2c7
14a8330324
1567eb6763
hex4286583c

1116100668 has 72 divisors (see below), whose sum is σ = 2755283328. Its totient is φ = 350971808.

The previous prime is 1116100663. The next prime is 1116100693. The reversal of 1116100668 is 8660016111.

It is a happy number.

It is a super-2 number, since 2×11161006682 = 2491361402220092448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116100663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1901071 + ... + 1901657.

It is an arithmetic number, because the mean of its divisors is an integer number (38267824).

Almost surely, 21116100668 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 1116100668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377641664).

1116100668 is an abundant number, since it is smaller than the sum of its proper divisors (1639182660).

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

1116100668 is a wasteful number, since it uses less digits than its factorization.

1116100668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1116100668 is about 33408.0928518825. The cubic root of 1116100668 is about 1037.2922250594.

Adding to 1116100668 its reverse (8660016111), we get a palindrome (9776116779).

The spelling of 1116100668 in words is "one billion, one hundred sixteen million, one hundred thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 332 498 587 996 1174 1761 1909 2348 3522 3818 5727 6889 7044 7636 11454 13501 13778 20667 22908 27002 27556 40503 41334 48721 54004 81006 82668 97442 146163 158447 162012 194884 292326 316894 475341 584652 633788 950682 1120583 1901364 2241166 3361749 4043843 4482332 6723498 8087686 12131529 13446996 16175372 24263058 48526116 93008389 186016778 279025167 372033556 558050334 1116100668