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106014249 = 32111070851
BaseRepresentation
bin1100101000110…
…10011000101001
321101111002012200
412110122120221
5204114423444
614304130413
72425051305
oct624323051
9241432180
10106014249
115492a090
122b606a09
1318c6b133
1410118d05
159491969
hex651a629

106014249 has 12 divisors (see below), whose sum is σ = 167052912. Its totient is φ = 64251000.

The previous prime is 106014247. The next prime is 106014253. The reversal of 106014249 is 942410601.

106014249 is a `hidden beast` number, since 10 + 601 + 4 + 2 + 49 = 666.

It is not a de Polignac number, because 106014249 - 21 = 106014247 is a prime.

It is a super-2 number, since 2×1060142492 = 22478041982068002, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106014247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535327 + ... + 535524.

It is an arithmetic number, because the mean of its divisors is an integer number (13921076).

Almost surely, 2106014249 is an apocalyptic number.

It is an amenable number.

106014249 is a deficient number, since it is larger than the sum of its proper divisors (61038663).

106014249 is a wasteful number, since it uses less digits than its factorization.

106014249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070868 (or 1070865 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106014249 is about 10296.3221103460. The cubic root of 106014249 is about 473.2835541889.

The spelling of 106014249 in words is "one hundred six million, fourteen thousand, two hundred forty-nine".

Divisors: 1 3 9 11 33 99 1070851 3212553 9637659 11779361 35338083 106014249