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100131322123 = 7112061127649
BaseRepresentation
bin101110101000001001…
…0101011100100001011
3100120110022202012100001
41131100102223210023
53120032104301443
6113555533423431
710143230123560
oct1352022534413
9316408665301
10100131322123
1139513580388
12174a593ab77
139599a9bc41
144bbc686867
152910a29d4d
hex17504ab90b

100131322123 has 8 divisors (see below), whose sum is σ = 114437714400. Its totient is φ = 85825409280.

The previous prime is 100131322121. The next prime is 100131322133. The reversal of 100131322123 is 321223131001.

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 100131322123 - 21 = 100131322121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100131322123.

It is not an unprimeable number, because it can be changed into a prime (100131322121) 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, 720603 + ... + 848251.

It is an arithmetic number, because the mean of its divisors is an integer number (14304714300).

Almost surely, 2100131322123 is an apocalyptic number.

100131322123 is a deficient number, since it is larger than the sum of its proper divisors (14306392277).

100131322123 is a wasteful number, since it uses less digits than its factorization.

100131322123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239717.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100131322123 its reverse (321223131001), we get a palindrome (421354453124).

The spelling of 100131322123 in words is "one hundred billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 7 112061 127649 784427 893543 14304474589 100131322123