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100323230013 = 3237301270961
BaseRepresentation
bin101110101101110111…
…0110000000100111101
3100120221200212010110200
41131123232300010331
53120430221330023
6114030550554113
710151050246026
oct1353356600475
9316850763420
10100323230013
1139601936646
121753a068939
1395ca781bc6
144bd9d5dc4d
1529227d6743
hex175bbb013d

100323230013 has 12 divisors (see below), whose sum is σ = 148827855228. Its totient is φ = 65074527360.

The previous prime is 100323229987. The next prime is 100323230017. The reversal of 100323230013 is 310032323001.

100323230013 is a `hidden beast` number, since 100 + 323 + 230 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44616845529 + 55706384484 = 211227^2 + 236022^2 .

It is not a de Polignac number, because 100323230013 - 214 = 100323213629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100323230017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150635148 + ... + 150635813.

It is an arithmetic number, because the mean of its divisors is an integer number (12402321269).

Almost surely, 2100323230013 is an apocalyptic number.

It is an amenable number.

100323230013 is a deficient number, since it is larger than the sum of its proper divisors (48504625215).

100323230013 is a wasteful number, since it uses less digits than its factorization.

100323230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301271004 (or 301271001 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100323230013 its reverse (310032323001), we get a palindrome (410355553014).

It can be divided in two parts, 10032323001 and 3, that multiplied together give a palindrome (30096969003).

The spelling of 100323230013 in words is "one hundred billion, three hundred twenty-three million, two hundred thirty thousand, thirteen".

Divisors: 1 3 9 37 111 333 301270961 903812883 2711438649 11147025557 33441076671 100323230013