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1014442101 = 325319910687
BaseRepresentation
bin111100011101110…
…010100001110101
32121200211222221200
4330131302201311
54034144121401
6244355003113
734065421101
oct7435624165
92550758850
101014442101
11480698402
12243899499
131322258ca
1498a2a901
155e0d5686
hex3c772875

1014442101 has 24 divisors (see below), whose sum is σ = 1500595200. Its totient is φ = 660138336.

The previous prime is 1014442067. The next prime is 1014442141. The reversal of 1014442101 is 1012444101.

1014442101 is a `hidden beast` number, since 10 + 1 + 444 + 210 + 1 = 666.

It is not a de Polignac number, because 1014442101 - 219 = 1013917813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014442141) 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 23 ways as a sum of consecutive naturals, for example, 89580 + ... + 100266.

It is an arithmetic number, because the mean of its divisors is an integer number (62524800).

Almost surely, 21014442101 is an apocalyptic number.

It is an amenable number.

1014442101 is a deficient number, since it is larger than the sum of its proper divisors (486153099).

1014442101 is a wasteful number, since it uses less digits than its factorization.

1014442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945 (or 10942 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1014442101 is about 31850.3077065199. The cubic root of 1014442101 is about 1004.7910429164.

Adding to 1014442101 its reverse (1012444101), we get a palindrome (2026886202).

The spelling of 1014442101 in words is "one billion, fourteen million, four hundred forty-two thousand, one hundred one".

Divisors: 1 3 9 53 159 199 477 597 1791 10547 10687 31641 32061 94923 96183 566411 1699233 2126713 5097699 6380139 19140417 112715789 338147367 1014442101