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120203010013 = 5312891759489
BaseRepresentation
bin110111111110010101…
…0000101111111011101
3102111021011011120212211
41233330222011333131
53432133432310023
6131115343400421
711453512504222
oct1577452057735
9374234146784
10120203010013
1146a83513599
121b3678b3111
13b448286738
145b642ad949
1531d7c06a0d
hex1bfca85fdd

120203010013 has 8 divisors (see below), whose sum is σ = 122566073400. Its totient is φ = 117843468288.

The previous prime is 120203009987. The next prime is 120203010029. The reversal of 120203010013 is 310010302021.

It can be written as a sum of positive squares in 4 ways, for example, as 38144824249 + 82058185764 = 195307^2 + 286458^2 .

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 120203010013 - 29 = 120203009501 is a prime.

It is a super-3 number, since 3×1202030100133 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120203009975 and 120203010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120203010713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811428 + ... + 948061.

It is an arithmetic number, because the mean of its divisors is an integer number (15320759175).

Almost surely, 2120203010013 is an apocalyptic number.

It is an amenable number.

120203010013 is a deficient number, since it is larger than the sum of its proper divisors (2363063387).

120203010013 is a wasteful number, since it uses less digits than its factorization.

120203010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760831.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 120203010013 its reverse (310010302021), we get a palindrome (430213312034).

The spelling of 120203010013 in words is "one hundred twenty billion, two hundred three million, ten thousand, thirteen".

Divisors: 1 53 1289 68317 1759489 93252917 2267981321 120203010013