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105210829319 is a prime number
BaseRepresentation
bin110000111111100001…
…1011101101000000111
3101001120022201220021012
41201333003131220013
53210432433014234
6120155545112435
710413136202501
oct1417703355007
9331508656235
10105210829319
114068a852312
1218482a8871b
139bc92477bb
145141122d71
152b0b9390ce
hex187f0dda07

105210829319 has 2 divisors, whose sum is σ = 105210829320. Its totient is φ = 105210829318.

The previous prime is 105210829307. The next prime is 105210829327. The reversal of 105210829319 is 913928012501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105210829319 - 220 = 105209780743 is a prime.

It is a super-2 number, since 2×1052108293192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105210829379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52605414659 + 52605414660.

It is an arithmetic number, because the mean of its divisors is an integer number (52605414660).

Almost surely, 2105210829319 is an apocalyptic number.

105210829319 is a deficient number, since it is larger than the sum of its proper divisors (1).

105210829319 is an equidigital number, since it uses as much as digits as its factorization.

105210829319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 105210829319 in words is "one hundred five billion, two hundred ten million, eight hundred twenty-nine thousand, three hundred nineteen".