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106150431 = 31761149229
BaseRepresentation
bin1100101001110…
…11101000011111
321101202000000110
412110323220133
5204133303211
614311101103
72426156322
oct624735037
9241660013
10106150431
1154a12432
122b671793
1318cb810a
14101527b9
1594bbea6
hex653ba1f

106150431 has 32 divisors (see below), whose sum is σ = 154008000. Its totient is φ = 64788480.

The previous prime is 106150427. The next prime is 106150441. The reversal of 106150431 is 134051601.

It is not a de Polignac number, because 106150431 - 22 = 106150427 is a prime.

It is a super-2 number, since 2×1061504312 = 22535828002971522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106150398 and 106150407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106150441) 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, 463425 + ... + 463653.

It is an arithmetic number, because the mean of its divisors is an integer number (4812750).

Almost surely, 2106150431 is an apocalyptic number.

106150431 is a deficient number, since it is larger than the sum of its proper divisors (47857569).

106150431 is a wasteful number, since it uses less digits than its factorization.

106150431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106150431 is about 10302.9331260569. The cubic root of 106150431 is about 473.4861216846.

The spelling of 106150431 in words is "one hundred six million, one hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 17 51 61 149 183 229 447 687 1037 2533 3111 3893 7599 9089 11679 13969 27267 34121 41907 102363 154513 237473 463539 580057 712419 1740171 2081381 6244143 35383477 106150431