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106042314533 is a prime number
BaseRepresentation
bin110001011000010011…
…1010100111100100101
3101010201021022201112212
41202300213110330211
53214133313031113
6120414250453205
710442553541601
oct1426047247445
9333637281485
10106042314533
1140a77138481
1218675434205
139ccc5a269c
1451bd726501
152b599300a8
hex18b09d4f25

106042314533 has 2 divisors, whose sum is σ = 106042314534. Its totient is φ = 106042314532.

The previous prime is 106042314529. The next prime is 106042314551. The reversal of 106042314533 is 335413240601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91955710564 + 14086603969 = 303242^2 + 118687^2 .

It is a cyclic number.

It is not a de Polignac number, because 106042314533 - 22 = 106042314529 is a prime.

It is a super-2 number, since 2×1060423145332 (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 106042314533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106042334533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53021157266 + 53021157267.

It is an arithmetic number, because the mean of its divisors is an integer number (53021157267).

Almost surely, 2106042314533 is an apocalyptic number.

It is an amenable number.

106042314533 is a deficient number, since it is larger than the sum of its proper divisors (1).

106042314533 is an equidigital number, since it uses as much as digits as its factorization.

106042314533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 106042314533 in words is "one hundred six billion, forty-two million, three hundred fourteen thousand, five hundred thirty-three".