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106112021619 = 3435913941929
BaseRepresentation
bin110001011010011000…
…1001111010001110011
3101010220010111012200210
41202310301033101303
53214304134142434
6120425220515203
710444361205342
oct1426461172163
9333803435623
10106112021619
114100251943a
121869484bb03
13a010b6aa96
1451c8aadb59
152b60aedee9
hex18b4c4f473

106112021619 has 16 divisors (see below), whose sum is σ = 147226780800. Its totient is φ = 67925073216.

The previous prime is 106112021597. The next prime is 106112021629. The reversal of 106112021619 is 916120211601.

It is not a de Polignac number, because 106112021619 - 29 = 106112021107 is a prime.

It is a super-2 number, since 2×1061120216192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106112021629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6963354 + ... + 6978575.

It is an arithmetic number, because the mean of its divisors is an integer number (9201673800).

Almost surely, 2106112021619 is an apocalyptic number.

106112021619 is a deficient number, since it is larger than the sum of its proper divisors (41114759181).

106112021619 is a wasteful number, since it uses less digits than its factorization.

106112021619 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942034.

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 106112021619 in words is "one hundred six billion, one hundred twelve million, twenty-one thousand, six hundred nineteen".

Divisors: 1 3 43 59 129 177 2537 7611 13941929 41825787 599502947 822573811 1798508841 2467721433 35370673873 106112021619