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109331212068 = 223213233613701
BaseRepresentation
bin110010111010010100…
…1011110011100100100
3101110012110222000210200
41211310221132130210
53242402242241233
6122120455150500
710620220653261
oct1456451363444
9343173860720
10109331212068
1142404689911
1219232975430
13a404a983c0
145412452268
152c9d53d313
hex1974a5e724

109331212068 has 36 divisors (see below), whose sum is σ = 297623856348. Its totient is φ = 33640372800.

The previous prime is 109331212049. The next prime is 109331212121. The reversal of 109331212068 is 860212133901.

109331212068 is a `hidden beast` number, since 109 + 331 + 212 + 0 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28369338624 + 80961873444 = 168432^2 + 284538^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116806383 + ... + 116807318.

It is an arithmetic number, because the mean of its divisors is an integer number (8267329343).

Almost surely, 2109331212068 is an apocalyptic number.

109331212068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109331212068 is an abundant number, since it is smaller than the sum of its proper divisors (188292644280).

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

109331212068 is a wasteful number, since it uses less digits than its factorization.

109331212068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233613724 (or 233613719 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 109331212068 its reverse (860212133901), we get a palindrome (969543345969).

The spelling of 109331212068 in words is "one hundred nine billion, three hundred thirty-one million, two hundred twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 233613701 467227402 700841103 934454804 1401682206 2102523309 2803364412 3036978113 4205046618 6073956226 8410093236 9110934339 12147912452 18221868678 27332803017 36443737356 54665606034 109331212068