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106834711567 is a prime number
BaseRepresentation
bin110001101111111011…
…0000101010000001111
3101012202111100122221011
41203133312011100033
53222244141232232
6121025034350051
710501315031203
oct1433766052017
9335674318834
10106834711567
1141343456061
121885688b327
13a0c77c2a7c
145256a72b03
152ba42a4547
hex18dfd8540f

106834711567 has 2 divisors, whose sum is σ = 106834711568. Its totient is φ = 106834711566.

The previous prime is 106834711561. The next prime is 106834711579. The reversal of 106834711567 is 765117438601.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106834711567 is a prime.

It is a super-2 number, since 2×1068347115672 (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 106834711567.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106834711561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53417355783 + 53417355784.

It is an arithmetic number, because the mean of its divisors is an integer number (53417355784).

Almost surely, 2106834711567 is an apocalyptic number.

106834711567 is a deficient number, since it is larger than the sum of its proper divisors (1).

106834711567 is an equidigital number, since it uses as much as digits as its factorization.

106834711567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 106834711567 in words is "one hundred six billion, eight hundred thirty-four million, seven hundred eleven thousand, five hundred sixty-seven".