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106867101427 = 2917964132117
BaseRepresentation
bin110001110000111000…
…1101000111011110011
3101012211202022020110121
41203201301220323303
53222330434221202
6121032152511111
710502160242242
oct1434161507363
9335752266417
10106867101427
114135a769039
12188656ab497
13a101423778
14525b0a4959
152ba7051537
hex18e1c68ef3

106867101427 has 16 divisors (see below), whose sum is σ = 111346682400. Its totient is φ = 102442332160.

The previous prime is 106867101409. The next prime is 106867101433. The reversal of 106867101427 is 724101768601.

It is a cyclic number.

It is not a de Polignac number, because 106867101427 - 235 = 72507363059 is a prime.

It is a super-3 number, since 3×1068671014273 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106867101457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3311373 + ... + 3343489.

It is an arithmetic number, because the mean of its divisors is an integer number (6959167650).

Almost surely, 2106867101427 is an apocalyptic number.

106867101427 is a deficient number, since it is larger than the sum of its proper divisors (4479580973).

106867101427 is a wasteful number, since it uses less digits than its factorization.

106867101427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32966.

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 106867101427 in words is "one hundred six billion, eight hundred sixty-seven million, one hundred one thousand, four hundred twenty-seven".

Divisors: 1 29 179 641 5191 18589 32117 114739 931393 3327431 5748943 20586997 166719347 597022913 3685072463 106867101427