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106133301 = 3329891523
BaseRepresentation
bin1100101001101…
…11011100110101
321101201010112000
412110313130311
5204132231201
614310445513
72426055351
oct624673465
9241633460
10106133301
1154a0057a
122b663899
1318cb0391
141014a461
1594b6d86
hex6537735

106133301 has 32 divisors (see below), whose sum is σ = 164592000. Its totient is φ = 67503744.

The previous prime is 106133299. The next prime is 106133303. The reversal of 106133301 is 103331601.

It is an interprime number because it is at equal distance from previous prime (106133299) and next prime (106133303).

It is not a de Polignac number, because 106133301 - 21 = 106133299 is a prime.

It is a super-2 number, since 2×1061333012 = 22528555162313202, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106133303) 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, 68926 + ... + 70448.

It is an arithmetic number, because the mean of its divisors is an integer number (5143500).

Almost surely, 2106133301 is an apocalyptic number.

It is an amenable number.

106133301 is a deficient number, since it is larger than the sum of its proper divisors (58458699).

106133301 is a wasteful number, since it uses less digits than its factorization.

106133301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 106133301 is about 10302.1017758514. The cubic root of 106133301 is about 473.4606507452.

Adding to 106133301 its reverse (103331601), we get a palindrome (209464902).

The spelling of 106133301 in words is "one hundred six million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 27 29 87 89 261 267 783 801 1523 2403 2581 4569 7743 13707 23229 41121 44167 69687 132501 135547 397503 406641 1192509 1219923 3659769 3930863 11792589 35377767 106133301