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100961826883 is a prime number
BaseRepresentation
bin101111000000111001…
…0110011100001000011
3100122121012111012200121
41132001302303201003
53123232211430013
6114214202201111
710202633240341
oct1360162634103
9318535435617
10100961826883
11398aa356955
1217697ab3197
13969cb72788
144c5aab2991
15295d8ca58d
hex1781cb3843

100961826883 has 2 divisors, whose sum is σ = 100961826884. Its totient is φ = 100961826882.

The previous prime is 100961826871. The next prime is 100961826929. The reversal of 100961826883 is 388628169001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100961826883 is a prime.

It is a super-2 number, since 2×1009618268832 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100961826883.

It is not a weakly prime, because it can be changed into another prime (100961826863) 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, 50480913441 + 50480913442.

It is an arithmetic number, because the mean of its divisors is an integer number (50480913442).

Almost surely, 2100961826883 is an apocalyptic number.

100961826883 is a deficient number, since it is larger than the sum of its proper divisors (1).

100961826883 is an equidigital number, since it uses as much as digits as its factorization.

100961826883 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 100961826883 in words is "one hundred billion, nine hundred sixty-one million, eight hundred twenty-six thousand, eight hundred eighty-three".