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1116778900 = 225253210713
BaseRepresentation
bin100001010010000…
…1011000110010100
32212211102020122111
41002210023012110
54241343411100
6302452240404
736450315106
oct10244130624
92784366574
101116778900
11523435576
12272010104
1314a4a6c23
14a8469576
156809c6ba
hex4290b194

1116778900 has 36 divisors (see below), whose sum is σ = 2469146652. Its totient is φ = 438280960.

The previous prime is 1116778877. The next prime is 1116778907. The reversal of 1116778900 is 98776111.

It can be written as a sum of positive squares in 6 ways, for example, as 167029776 + 949749124 = 12924^2 + 30818^2 .

It is a super-2 number, since 2×11167789002 = 2494390222970420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116778907) 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 11 ways as a sum of consecutive naturals, for example, 100057 + ... + 110656.

It is an arithmetic number, because the mean of its divisors is an integer number (68587407).

Almost surely, 21116778900 is an apocalyptic number.

1116778900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1116778900 is an abundant number, since it is smaller than the sum of its proper divisors (1352367752).

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

1116778900 is a wasteful number, since it uses less digits than its factorization.

1116778900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210780 (or 210773 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 40.

The square root of 1116778900 is about 33418.2420243794. The cubic root of 1116778900 is about 1037.5022964095.

The spelling of 1116778900 in words is "one billion, one hundred sixteen million, seven hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 210713 421426 842852 1053565 2107130 4214260 5267825 10535650 11167789 21071300 22335578 44671156 55838945 111677890 223355780 279194725 558389450 1116778900