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117111100001 = 723379770717
BaseRepresentation
bin110110100010001011…
…1011001001001100001
3102012021200012021201012
41231010113121021201
53404320420200001
6125444453150305
711314056632300
oct1550427311141
9365250167635
10117111100001
1145737187865
121a84432b395
13b074831a9c
14594d7c0437
1530a655a2bb
hex1b445d9261

117111100001 has 12 divisors (see below), whose sum is σ = 136237236948. Its totient is φ = 100376553312.

The previous prime is 117111099983. The next prime is 117111100003. The reversal of 117111100001 is 100001111711.

It can be written as a sum of positive squares in 2 ways, for example, as 52899540001 + 64211560000 = 229999^2 + 253400^2 .

It is not a de Polignac number, because 117111100001 - 226 = 117043991137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117111100003) 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 11 ways as a sum of consecutive naturals, for example, 1620695 + ... + 1691411.

It is an arithmetic number, because the mean of its divisors is an integer number (11353103079).

Almost surely, 2117111100001 is an apocalyptic number.

It is an amenable number.

117111100001 is a deficient number, since it is larger than the sum of its proper divisors (19126136947).

117111100001 is an equidigital number, since it uses as much as digits as its factorization.

117111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104528 (or 104521 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 117111100001 its reverse (100001111711), we get a palindrome (217112211712).

The spelling of 117111100001 in words is "one hundred seventeen billion, one hundred eleven million, one hundred thousand, one".

Divisors: 1 7 49 33797 70717 236579 495019 1656053 3465133 2390022449 16730157143 117111100001