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106107343542141 = 378359945136753
BaseRepresentation
bin11000001000000100001010…
…100001010001011101111101
3111220200202121012200000102220
4120020010022201101131331
5102401430314421322031
61013401012442235553
731231000613540664
oct3010041241213575
9456622535600386
10106107343542141
1130899965242617
12ba983927b5bb9
134728b58523086
141c2b8a1087ddb
15c4016751b596
hex60810a85177d

106107343542141 has 8 divisors (see below), whose sum is σ = 141476641737600. Its totient is φ = 70738137187392.

The previous prime is 106107343542119. The next prime is 106107343542157. The reversal of 106107343542141 is 141245343701601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106107343542141 - 213 = 106107343533949 is a prime.

It is a super-2 number, since 2×1061073435421412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106107343542093 and 106107343542102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106107343543141) 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 7 ways as a sum of consecutive naturals, for example, 20217580 + ... + 24919173.

It is an arithmetic number, because the mean of its divisors is an integer number (17684580217200).

Almost surely, 2106107343542141 is an apocalyptic number.

It is an amenable number.

106107343542141 is a deficient number, since it is larger than the sum of its proper divisors (35369298195459).

106107343542141 is an equidigital number, since it uses as much as digits as its factorization.

106107343542141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45920355.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 106107343542141 in words is "one hundred six trillion, one hundred seven billion, three hundred forty-three million, five hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 783599 2350797 45136753 135410259 35369114514047 106107343542141