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105083511733 is a prime number
BaseRepresentation
bin110000111011101110…
…1110010001110110101
3101001020110011111101001
41201313131302032311
53210202334333413
6120135200203301
710410032053264
oct1416735621665
9331213144331
10105083511733
11406249a2772
1218448309531
139ba8a5ac55
14512c2605db
152b0068a4dd
hex18777723b5

105083511733 has 2 divisors, whose sum is σ = 105083511734. Its totient is φ = 105083511732.

The previous prime is 105083511727. The next prime is 105083511737. The reversal of 105083511733 is 337115380501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62208839889 + 42874671844 = 249417^2 + 207062^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105083511733 is a prime.

It is a super-2 number, since 2×1050835117332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105083511692 and 105083511701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105083511737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52541755866 + 52541755867.

It is an arithmetic number, because the mean of its divisors is an integer number (52541755867).

Almost surely, 2105083511733 is an apocalyptic number.

It is an amenable number.

105083511733 is a deficient number, since it is larger than the sum of its proper divisors (1).

105083511733 is an equidigital number, since it uses as much as digits as its factorization.

105083511733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 105083511733 in words is "one hundred five billion, eighty-three million, five hundred eleven thousand, seven hundred thirty-three".