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100673855837 is a prime number
BaseRepresentation
bin101110111000010100…
…0010010000101011101
3100121212010121202200022
41131300220102011131
53122140001341322
6114125434041525
710162535440532
oct1356050220535
9317763552608
10100673855837
1139771848a55
12176175792a5
1396552c6bc9
144c30750d89
152943495942
hex1770a1215d

100673855837 has 2 divisors, whose sum is σ = 100673855838. Its totient is φ = 100673855836.

The previous prime is 100673855761. The next prime is 100673855839. The reversal of 100673855837 is 738558376001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77781863236 + 22891992601 = 278894^2 + 151301^2 .

It is a cyclic number.

It is not a de Polignac number, because 100673855837 - 226 = 100606746973 is a prime.

Together with 100673855839, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100673855839) 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 as a sum of consecutive naturals, namely, 50336927918 + 50336927919.

It is an arithmetic number, because the mean of its divisors is an integer number (50336927919).

Almost surely, 2100673855837 is an apocalyptic number.

It is an amenable number.

100673855837 is a deficient number, since it is larger than the sum of its proper divisors (1).

100673855837 is an equidigital number, since it uses as much as digits as its factorization.

100673855837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4233600, while the sum is 53.

The spelling of 100673855837 in words is "one hundred billion, six hundred seventy-three million, eight hundred fifty-five thousand, eight hundred thirty-seven".