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101056033 = 1367157739
BaseRepresentation
bin1100000010111…
…11111000100001
321001011011211001
412001133320201
5201332243113
614005552001
72334651001
oct601377041
9231134731
10101056033
1152052991
1229a15601
1317c23390
14d5c8001
158d127dd
hex605fe21

101056033 has 16 divisors (see below), whose sum is σ = 111307840. Its totient is φ = 91181376.

The previous prime is 101056031. The next prime is 101056093. The reversal of 101056033 is 330650101.

It is not a de Polignac number, because 101056033 - 21 = 101056031 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101056033.

It is not an unprimeable number, because it can be changed into a prime (101056031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136378 + ... + 137116.

It is an arithmetic number, because the mean of its divisors is an integer number (6956740).

Almost surely, 2101056033 is an apocalyptic number.

101056033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101056033 is a deficient number, since it is larger than the sum of its proper divisors (10251807).

101056033 is a wasteful number, since it uses less digits than its factorization.

101056033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 101056033 is about 10052.6629805241. The cubic root of 101056033 is about 465.7870557218.

The spelling of 101056033 in words is "one hundred one million, fifty-six thousand, thirty-three".

Divisors: 1 13 67 157 739 871 2041 9607 10519 49513 116023 136747 643669 1508299 7773541 101056033