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101116818330 = 23511306414601
BaseRepresentation
bin101111000101100001…
…0000011001110011010
3100200000000010120222120
41132023002003032122
53124041401141310
6114241420202110
710206524526423
oct1361302031632
9320000116876
10101116818330
1139979898260
121771b999336
1396c5ccb5a8
144c734da64a
15296c2e3b70
hex178b08339a

101116818330 has 32 divisors (see below), whose sum is σ = 264742216128. Its totient is φ = 24513168000.

The previous prime is 101116818311. The next prime is 101116818337. The reversal of 101116818330 is 33818611101.

It is a super-2 number, since 2×1011168183302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 101116818291 and 101116818300.

It is not an unprimeable number, because it can be changed into a prime (101116818337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153206971 + ... + 153207630.

It is an arithmetic number, because the mean of its divisors is an integer number (8273194254).

Almost surely, 2101116818330 is an apocalyptic number.

101116818330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101116818330 is an abundant number, since it is smaller than the sum of its proper divisors (163625397798).

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

101116818330 is a wasteful number, since it uses less digits than its factorization.

101116818330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306414622.

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 101116818330 in words is "one hundred one billion, one hundred sixteen million, eight hundred eighteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 306414601 612829202 919243803 1532073005 1838487606 3064146010 3370560611 4596219015 6741121222 9192438030 10111681833 16852803055 20223363666 33705606110 50558409165 101116818330