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101195393 = 1367223521
BaseRepresentation
bin1100000100000…
…01111010000001
321001102020222112
412002001322001
5201401223033
614012545105
72336101205
oct602017201
9231366875
10101195393
1152138662
1229a82195
1317c71940
14d622b05
158d3dc48
hex6081e81

101195393 has 16 divisors (see below), whose sum is σ = 111315456. Its totient is φ = 91428480.

The previous prime is 101195359. The next prime is 101195399. The reversal of 101195393 is 393591101.

It is a happy number.

It is not a de Polignac number, because 101195393 - 212 = 101191297 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101195399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193973 + ... + 194493.

It is an arithmetic number, because the mean of its divisors is an integer number (6957216).

Almost surely, 2101195393 is an apocalyptic number.

101195393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101195393 is a deficient number, since it is larger than the sum of its proper divisors (10120063).

101195393 is a wasteful number, since it uses less digits than its factorization.

101195393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824.

The product of its (nonzero) digits is 3645, while the sum is 32.

The square root of 101195393 is about 10059.5920891456. The cubic root of 101195393 is about 466.0010698889.

The spelling of 101195393 in words is "one hundred one million, one hundred ninety-five thousand, three hundred ninety-three".

Divisors: 1 13 67 223 521 871 2899 6773 14941 34907 116183 194233 453791 1510379 7784261 101195393