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106422471 = 3337307347
BaseRepresentation
bin1100101011111…
…10000011000111
321102020211012000
412111332003013
5204221004341
614321000343
72431401411
oct625760307
9242224160
10106422471
1155088861
122b7830b3
1319081b9c
14101c39b1
1595228b6
hex657e0c7

106422471 has 32 divisors (see below), whose sum is σ = 162919680. Its totient is φ = 68607648.

The previous prime is 106422469. The next prime is 106422479. The reversal of 106422471 is 174224601.

106422471 is a `hidden beast` number, since 10 + 642 + 2 + 4 + 7 + 1 = 666.

It is not a de Polignac number, because 106422471 - 21 = 106422469 is a prime.

It is a super-3 number, since 3×1064224713 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106422479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306520 + ... + 306866.

It is an arithmetic number, because the mean of its divisors is an integer number (5091240).

Almost surely, 2106422471 is an apocalyptic number.

106422471 is a deficient number, since it is larger than the sum of its proper divisors (56497209).

106422471 is a wasteful number, since it uses less digits than its factorization.

106422471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 106422471 is about 10316.1267440838. The cubic root of 106422471 is about 473.8902565996.

The spelling of 106422471 in words is "one hundred six million, four hundred twenty-two thousand, four hundred seventy-one".

Divisors: 1 3 9 27 37 111 307 333 347 921 999 1041 2763 3123 8289 9369 11359 12839 34077 38517 102231 106529 115551 306693 319587 346653 958761 2876283 3941573 11824719 35474157 106422471