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106235445511 = 13179191239023
BaseRepresentation
bin110001011110000100…
…0000100000100000111
3101011012201201210110001
41202330020010010013
53220032233224021
6120445350142131
710450420246636
oct1427410040407
9334181653401
10106235445511
1141066159658
121870a051947
13a0305c3280
1451db23b51d
152b6b87e091
hex18bc204107

106235445511 has 16 divisors (see below), whose sum is σ = 115649372160. Its totient is φ = 97004688480.

The previous prime is 106235445479. The next prime is 106235445527. The reversal of 106235445511 is 115544532601.

It is a cyclic number.

It is not a de Polignac number, because 106235445511 - 25 = 106235445479 is a prime.

It is a super-2 number, since 2×1062354455112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106235445011) 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, 324946 + ... + 563968.

It is an arithmetic number, because the mean of its divisors is an integer number (7228085760).

Almost surely, 2106235445511 is an apocalyptic number.

106235445511 is a deficient number, since it is larger than the sum of its proper divisors (9413926649).

106235445511 is a wasteful number, since it uses less digits than its factorization.

106235445511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239406.

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 106235445511 in words is "one hundred six billion, two hundred thirty-five million, four hundred forty-five thousand, five hundred eleven".

Divisors: 1 13 179 191 2327 2483 34189 239023 444457 3107299 42785117 45653393 556206521 593494109 8171957347 106235445511