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106213533 = 3316731697
BaseRepresentation
bin1100101010010…
…11000010011101
321101212012120120
412111023002131
5204142313113
614312305153
72426541306
oct625130235
9241765516
10106213533
1154a55888
122b6a21b9
131900aa5a
141016b7ad
1594d0a23
hex654b09d

106213533 has 16 divisors (see below), whose sum is σ = 146489856. Its totient is φ = 68382720.

The previous prime is 106213507. The next prime is 106213543. The reversal of 106213533 is 335312601.

It is a happy number.

It is not a de Polignac number, because 106213533 - 26 = 106213469 is a prime.

It is a super-2 number, since 2×1062135332 = 22562629184684178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106213543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61741 + ... + 63437.

It is an arithmetic number, because the mean of its divisors is an integer number (9155616).

Almost surely, 2106213533 is an apocalyptic number.

It is an amenable number.

106213533 is a deficient number, since it is larger than the sum of its proper divisors (40276323).

106213533 is a wasteful number, since it uses less digits than its factorization.

106213533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 106213533 is about 10305.9950029097. The cubic root of 106213533 is about 473.5799256775.

The spelling of 106213533 in words is "one hundred six million, two hundred thirteen thousand, five hundred thirty-three".

Divisors: 1 3 31 93 673 1697 2019 5091 20863 52607 62589 157821 1142081 3426243 35404511 106213533