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100009319677 is a prime number
BaseRepresentation
bin101110100100100000…
…1010001110011111101
3100120010211011211102221
41131021001101303331
53114304341212202
6113535454445341
710140216122401
oct1351101216375
9316124154387
10100009319677
1139460721113
1217470b03851
13957a723747
144baa3a9101
152904e7b037
hex1749051cfd

100009319677 has 2 divisors, whose sum is σ = 100009319678. Its totient is φ = 100009319676.

The previous prime is 100009319639. The next prime is 100009319717. The reversal of 100009319677 is 776913900001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66693579001 + 33315740676 = 258251^2 + 182526^2 .

It is a cyclic number.

It is not a de Polignac number, because 100009319677 - 27 = 100009319549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100009319617) 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 as a sum of consecutive naturals, namely, 50004659838 + 50004659839.

It is an arithmetic number, because the mean of its divisors is an integer number (50004659839).

Almost surely, 2100009319677 is an apocalyptic number.

It is an amenable number.

100009319677 is a deficient number, since it is larger than the sum of its proper divisors (1).

100009319677 is an equidigital number, since it uses as much as digits as its factorization.

100009319677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71442, while the sum is 43.

The spelling of 100009319677 in words is "one hundred billion, nine million, three hundred nineteen thousand, six hundred seventy-seven".