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104101133377 = 1761941106681
BaseRepresentation
bin110000011110011101…
…0010011110001000001
3100221200222122111121111
41200330322103301001
53201144342232002
6115453504323321
710343503014403
oct1407472236101
9327628574544
10104101133377
114017041532a
1218213313541
139a80380797
1450779bcb73
152a942da3d7
hex183ce93c41

104101133377 has 16 divisors (see below), whose sum is σ = 112151799504. Its totient is φ = 96268032000.

The previous prime is 104101133341. The next prime is 104101133393. The reversal of 104101133377 is 773331101401.

It can be written as a sum of positive squares in 8 ways, for example, as 17585146881 + 86515986496 = 132609^2 + 294136^2 .

It is a cyclic number.

It is not a de Polignac number, because 104101133377 - 27 = 104101133249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104101133317) 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 in 15 ways as a sum of consecutive naturals, for example, 922477 + ... + 1029157.

It is an arithmetic number, because the mean of its divisors is an integer number (7009487469).

Almost surely, 2104101133377 is an apocalyptic number.

104101133377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

104101133377 is a deficient number, since it is larger than the sum of its proper divisors (8050666127).

104101133377 is a wasteful number, since it uses less digits than its factorization.

104101133377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107700.

The product of its (nonzero) digits is 5292, while the sum is 31.

Adding to 104101133377 its reverse (773331101401), we get a palindrome (877432234778).

The spelling of 104101133377 in words is "one hundred four billion, one hundred one million, one hundred thirty-three thousand, three hundred seventy-seven".

Divisors: 1 17 61 941 1037 15997 57401 106681 975817 1813577 6507541 100386821 110628197 1706575957 6123596081 104101133377