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103675318751101 is a prime number
BaseRepresentation
bin10111100100101011001010…
…100010111100111101111101
3111121002021010012221211222011
4113210223022202330331331
5102042104023100013401
61004255441154451221
730560203022106106
oct2744531242747575
9447067105854864
10103675318751101
1130041501696989
12b764b7a593b11
1345b0704941196
141b85cab11b3ad
15bebc763ad451
hex5e4aca8bcf7d

103675318751101 has 2 divisors, whose sum is σ = 103675318751102. Its totient is φ = 103675318751100.

The previous prime is 103675318751071. The next prime is 103675318751129. The reversal of 103675318751101 is 101157813576301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73200447387076 + 30474871364025 = 8555726^2 + 5520405^2 .

It is a cyclic number.

It is not a de Polignac number, because 103675318751101 - 221 = 103675316653949 is a prime.

It is a super-3 number, since 3×1036753187511013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103675318751401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51837659375550 + 51837659375551.

It is an arithmetic number, because the mean of its divisors is an integer number (51837659375551).

Almost surely, 2103675318751101 is an apocalyptic number.

It is an amenable number.

103675318751101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103675318751101 is an equidigital number, since it uses as much as digits as its factorization.

103675318751101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 529200, while the sum is 49.

The spelling of 103675318751101 in words is "one hundred three trillion, six hundred seventy-five billion, three hundred eighteen million, seven hundred fifty-one thousand, one hundred one".