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100313102321 is a prime number
BaseRepresentation
bin101110101101100100…
…0000111011111110001
3100120220222210120212222
41131123020013133301
53120420123233241
6114025545530425
710150565205155
oct1353310073761
9316828716788
10100313102321
11395a7149553
12175367a3a15
1395c86471a3
144bd8885065
152921985a4b
hex175b2077f1

100313102321 has 2 divisors, whose sum is σ = 100313102322. Its totient is φ = 100313102320.

The previous prime is 100313102317. The next prime is 100313102377. The reversal of 100313102321 is 123201313001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99023502400 + 1289599921 = 314680^2 + 35911^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313102321 - 22 = 100313102317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100313102321.

It is not a weakly prime, because it can be changed into another prime (100313102621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156551160 + 50156551161.

It is an arithmetic number, because the mean of its divisors is an integer number (50156551161).

Almost surely, 2100313102321 is an apocalyptic number.

It is an amenable number.

100313102321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313102321 is an equidigital number, since it uses as much as digits as its factorization.

100313102321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100313102321 its reverse (123201313001), we get a palindrome (223514415322).

The spelling of 100313102321 in words is "one hundred billion, three hundred thirteen million, one hundred two thousand, three hundred twenty-one".