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106311417 = 3113313603
BaseRepresentation
bin1100101011000…
…10111011111001
321102001011211220
412111202323321
5204203431132
614314342253
72430426552
oct625427371
9242034756
10106311417
1155012383
122b72a989
1319043484
1410195329
1594eea2c
hex6562ef9

106311417 has 8 divisors (see below), whose sum is σ = 143003424. Its totient is φ = 70246848.

The previous prime is 106311383. The next prime is 106311449. The reversal of 106311417 is 714113601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106311417 - 223 = 97922809 is a prime.

It is a super-2 number, since 2×1063114172 = 22604234769095778, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (106311467) 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, 156463 + ... + 157140.

It is an arithmetic number, because the mean of its divisors is an integer number (17875428).

Almost surely, 2106311417 is an apocalyptic number.

It is an amenable number.

106311417 is a deficient number, since it is larger than the sum of its proper divisors (36692007).

106311417 is a wasteful number, since it uses less digits than its factorization.

106311417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313719.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 106311417 is about 10310.7427957446. The cubic root of 106311417 is about 473.7253612080.

The spelling of 106311417 in words is "one hundred six million, three hundred eleven thousand, four hundred seventeen".

Divisors: 1 3 113 339 313603 940809 35437139 106311417