Search a number
-
+
1071311427 = 364173491
BaseRepresentation
bin111111110110101…
…110101001000011
32202122212021000000
4333312232221003
54143223431202
6254145531043
735355665634
oct7766565103
92678767000
101071311427
114aa80014a
1225a943a83
13140c478b4
14a23d188b
15640ba91c
hex3fdaea43

1071311427 has 56 divisors (see below), whose sum is σ = 1671345648. Its totient is φ = 685843200.

The previous prime is 1071311407. The next prime is 1071311453. The reversal of 1071311427 is 7241131701.

1071311427 is a `hidden beast` number, since 107 + 131 + 1 + 427 = 666.

It is not a de Polignac number, because 1071311427 - 26 = 1071311363 is a prime.

It is a super-2 number, since 2×10713114272 = 2295416347241552658, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1071311427.

It is not an unprimeable number, because it can be changed into a prime (1071311407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2181652 + ... + 2182142.

It is an arithmetic number, because the mean of its divisors is an integer number (29845458).

Almost surely, 21071311427 is an apocalyptic number.

1071311427 is a deficient number, since it is larger than the sum of its proper divisors (600034221).

1071311427 is an frugal number, since it uses more digits than its factorization.

1071311427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1071311427 is about 32730.8940757811. The cubic root of 1071311427 is about 1023.2268139424.

The spelling of 1071311427 in words is "one billion, seventy-one million, three hundred eleven thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 41 73 81 123 219 243 369 491 657 729 1107 1473 1971 2993 3321 4419 5913 8979 9963 13257 17739 20131 26937 29889 35843 39771 53217 60393 80811 107529 119313 181179 242433 322587 357939 543537 727299 967761 1469563 1630611 2181897 2903283 4408689 4891833 8709849 13226067 14675499 26129547 39678201 119034603 357103809 1071311427