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1072144107 = 3489148723
BaseRepresentation
bin111111111001111…
…001111011101011
32202201102120020000
4333321321323223
54143432102412
6254215434043
735366034366
oct7771717353
92681376200
101072144107
11500219811
1225b085923
131411798c8
14a256b0dd
15641d24dc
hex3fe79eeb

1072144107 has 20 divisors (see below), whose sum is σ = 1619604360. Its totient is φ = 706726944.

The previous prime is 1072144097. The next prime is 1072144109. The reversal of 1072144107 is 7014412701.

It is not a de Polignac number, because 1072144107 - 211 = 1072142059 is a prime.

It is a super-2 number, since 2×10721441072 = 2298985972349654898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1072144109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67153 + ... + 81570.

It is an arithmetic number, because the mean of its divisors is an integer number (80980218).

Almost surely, 21072144107 is an apocalyptic number.

1072144107 is a deficient number, since it is larger than the sum of its proper divisors (547460253).

1072144107 is an equidigital number, since it uses as much as digits as its factorization.

1072144107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148824 (or 148815 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1072144107 is about 32743.6116975510. The cubic root of 1072144107 is about 1023.4918473186.

Adding to 1072144107 its reverse (7014412701), we get a palindrome (8086556808).

The spelling of 1072144107 in words is "one billion, seventy-two million, one hundred forty-four thousand, one hundred seven".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 148723 446169 1338507 4015521 12046563 13236347 39709041 119127123 357381369 1072144107