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107394940801 = 241574177621
BaseRepresentation
bin110010000000100111…
…1001011111110000001
3101021012112112020222001
41210001033023332001
53224421101101201
6121200410144001
710521226635451
oct1440117137601
9337175466861
10107394940801
114160070a625
1218992422001
13a1868a5265
1452ab225d61
152bd8568301
hex19013cbf81

107394940801 has 8 divisors (see below), whose sum is σ = 107860736808. Its totient is φ = 106929312000.

The previous prime is 107394940781. The next prime is 107394940823. The reversal of 107394940801 is 108049493701.

It can be written as a sum of positive squares in 4 ways, for example, as 34603440400 + 72791500401 = 186020^2 + 269799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107394940801 - 223 = 107386552193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107394940001) 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 7 ways as a sum of consecutive naturals, for example, 1344771 + ... + 1422391.

It is an arithmetic number, because the mean of its divisors is an integer number (13482592101).

Almost surely, 2107394940801 is an apocalyptic number.

It is an amenable number.

107394940801 is a deficient number, since it is larger than the sum of its proper divisors (465796007).

107394940801 is an equidigital number, since it uses as much as digits as its factorization.

107394940801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83603.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 107394940801 in words is "one hundred seven billion, three hundred ninety-four million, nine hundred forty thousand, eight hundred one".

Divisors: 1 241 5741 77621 1383581 18706661 445622161 107394940801