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106266033 = 333935779
BaseRepresentation
bin1100101010101…
…11110110110001
321101221212121000
412111113312301
5204201003113
614313352213
72430150336
oct625276661
9241855530
10106266033
1154a91275
122b708669
1319028913
141018298d
1594e1373
hex6557db1

106266033 has 8 divisors (see below), whose sum is σ = 157431200. Its totient is φ = 70844004.

The previous prime is 106266011. The next prime is 106266037. The reversal of 106266033 is 330662601.

106266033 is a `hidden beast` number, since 1 + 0 + 626 + 6 + 0 + 33 = 666.

It is not a de Polignac number, because 106266033 - 25 = 106266001 is a prime.

It is a super-2 number, since 2×1062660332 = 22584939539114178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3935779 = 106266033 / (1 + 0 + 6 + 2 + 6 + 6 + 0 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106265988 and 106266006.

It is not an unprimeable number, because it can be changed into a prime (106266037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967863 + ... + 1967916.

It is an arithmetic number, because the mean of its divisors is an integer number (19678900).

Almost surely, 2106266033 is an apocalyptic number.

It is an amenable number.

106266033 is a deficient number, since it is larger than the sum of its proper divisors (51165167).

106266033 is an equidigital number, since it uses as much as digits as its factorization.

106266033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935788 (or 3935782 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 106266033 is about 10308.5417494425. The cubic root of 106266033 is about 473.6579410052.

The spelling of 106266033 in words is "one hundred six million, two hundred sixty-six thousand, thirty-three".

Divisors: 1 3 9 27 3935779 11807337 35422011 106266033