Search a number
-
+
1106699323392 = 211321373151419
BaseRepresentation
bin10000000110101100011…
…010111000100000000000
310220210120210000122202100
4100012230122320200000
5121113010011322032
62204224411150400
7142646020015425
oct20065432704000
93823523018670
101106699323392
11397391a098a3
1215a59b445400
1380490a07460
143b7c9115d4c
151dbc3bc597c
hex101ac6b8800

1106699323392 has 576 divisors, whose sum is σ = 3520869206400. Its totient is φ = 332837683200.

The previous prime is 1106699323391. The next prime is 1106699323393. The reversal of 1106699323392 is 2933239966011.

1106699323392 is a `hidden beast` number, since 1 + 106 + 69 + 93 + 2 + 3 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (1106699323391) and next prime (1106699323393).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1106699323391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2641286959 + ... + 2641287377.

It is an arithmetic number, because the mean of its divisors is an integer number (6112620150).

Almost surely, 21106699323392 is an apocalyptic number.

1106699323392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106699323392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760434603200).

1106699323392 is an abundant number, since it is smaller than the sum of its proper divisors (2414169883008).

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

1106699323392 is a wasteful number, since it uses less digits than its factorization.

1106699323392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 1106699323392 in words is "one trillion, one hundred six billion, six hundred ninety-nine million, three hundred twenty-three thousand, three hundred ninety-two".