Search a number
-
+
123781868032901 = 1353529733391433
BaseRepresentation
bin11100001001010000110110…
…010001100001001110000101
3121020021102122012200200112012
4130021100312101201032011
5112211020231204023101
61115132334413504005
735033642040105401
oct3411206621411605
9536242565620465
10123781868032901
1136493660577401
1211a719091a2005
13540b77054ba10
14227d10814c101
15e49cb5416bbb
hex709436461385

123781868032901 has 16 divisors (see below), whose sum is σ = 135821315485296. Its totient is φ = 112102184004096.

The previous prime is 123781868032873. The next prime is 123781868032919. The reversal of 123781868032901 is 109230868187321.

It is a Cunningham number, because it is equal to 111257302+1.

It can be written as a sum of positive squares in 8 ways, for example, as 3212661912100 + 120569206120801 = 1792390^2 + 10980401^2 .

It is not a de Polignac number, because 123781868032901 - 222 = 123781863838597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123781868032981) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34802681 + ... + 38194113.

It is an arithmetic number, because the mean of its divisors is an integer number (8488832217831).

Almost surely, 2123781868032901 is an apocalyptic number.

It is an amenable number.

123781868032901 is a deficient number, since it is larger than the sum of its proper divisors (12039447452395).

123781868032901 is a wasteful number, since it uses less digits than its factorization.

123781868032901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444472.

The product of its (nonzero) digits is 6967296, while the sum is 59.

The spelling of 123781868032901 in words is "one hundred twenty-three trillion, seven hundred eighty-one billion, eight hundred sixty-eight million, thirty-two thousand, nine hundred one".

Divisors: 1 13 53 689 52973 688649 2807569 3391433 36498397 44088629 179745949 2336697337 179654380309 2335506944017 9521682156377 123781868032901