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1057394101 = 17121751109
BaseRepresentation
bin111111000001101…
…000110110110101
32201200200012000111
4333001220312311
54131143102401
6252531343021
735126462431
oct7701506665
92650605014
101057394101
114a2964925
12256151a71
1313b0b3caa
14a060b9c1
1562c6be51
hex3f068db5

1057394101 has 8 divisors (see below), whose sum is σ = 1120535640. Its totient is φ = 994357248.

The previous prime is 1057394087. The next prime is 1057394113. The reversal of 1057394101 is 1014937501.

It can be written as a sum of positive squares in 4 ways, for example, as 493284100 + 564110001 = 22210^2 + 23751^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057394101 is a prime.

It is a super-2 number, since 2×10573941012 = 2236164569659196402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057394131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4866 + ... + 46243.

It is an arithmetic number, because the mean of its divisors is an integer number (140066955).

Almost surely, 21057394101 is an apocalyptic number.

It is an amenable number.

1057394101 is a deficient number, since it is larger than the sum of its proper divisors (63141539).

1057394101 is a wasteful number, since it uses less digits than its factorization.

1057394101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52343.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 1057394101 is about 32517.5967900458. The cubic root of 1057394101 is about 1018.7765996743.

The spelling of 1057394101 in words is "one billion, fifty-seven million, three hundred ninety-four thousand, one hundred one".

Divisors: 1 17 1217 20689 51109 868853 62199653 1057394101