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105051156533 is a prime number
BaseRepresentation
bin110000111010110001…
…0010111000000110101
3101001011012021200101022
41201311202113000311
53210121044002113
6120132042510525
710406160045251
oct1416542270065
9331135250338
10105051156533
1140608703834
1218439505445
139ba213cc6b
145127c3b261
152aec8e8908
hex1875897035

105051156533 has 2 divisors, whose sum is σ = 105051156534. Its totient is φ = 105051156532.

The previous prime is 105051156499. The next prime is 105051156563. The reversal of 105051156533 is 335651150501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100975866289 + 4075290244 = 317767^2 + 63838^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105051156533 is a prime.

It is a super-2 number, since 2×1050511565332 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105051156493 and 105051156502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105051156563) 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, 52525578266 + 52525578267.

It is an arithmetic number, because the mean of its divisors is an integer number (52525578267).

Almost surely, 2105051156533 is an apocalyptic number.

It is an amenable number.

105051156533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105051156533 is an equidigital number, since it uses as much as digits as its factorization.

105051156533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33750, while the sum is 35.

The spelling of 105051156533 in words is "one hundred five billion, fifty-one million, one hundred fifty-six thousand, five hundred thirty-three".