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100189274741 is a prime number
BaseRepresentation
bin101110101001110111…
…1110000001001110101
3100120121100210111101022
41131103233300021311
53120141423242431
6114005403510525
710144532532623
oct1352357601165
9316540714338
10100189274741
1139543263006
1217501228445
1395a8ab002a
144bc6250513
152915b7607b
hex1753bf0275

100189274741 has 2 divisors, whose sum is σ = 100189274742. Its totient is φ = 100189274740.

The previous prime is 100189274723. The next prime is 100189274743. The reversal of 100189274741 is 147472981001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99941338225 + 247936516 = 316135^2 + 15746^2 .

It is an emirp because it is prime and its reverse (147472981001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100189274741 - 26 = 100189274677 is a prime.

Together with 100189274743, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100189274692 and 100189274701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100189274743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50094637370 + 50094637371.

It is an arithmetic number, because the mean of its divisors is an integer number (50094637371).

Almost surely, 2100189274741 is an apocalyptic number.

It is an amenable number.

100189274741 is a deficient number, since it is larger than the sum of its proper divisors (1).

100189274741 is an equidigital number, since it uses as much as digits as its factorization.

100189274741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 100189274741 in words is "one hundred billion, one hundred eighty-nine million, two hundred seventy-four thousand, seven hundred forty-one".