Search a number
-
+
1357111921 = 1121721972
BaseRepresentation
bin101000011100011…
…1110001001110001
310111120122102120111
41100320332021301
510234410040141
6342355341321
745426155344
oct12070761161
93446572514
101357111921
11637066300
1231a5b1841
13188213509
14cc34a45b
157e222381
hex50e3e271

1357111921 has 27 divisors (see below), whose sum is σ = 1592694817. Its totient is φ = 1155271040.

The previous prime is 1357111909. The next prime is 1357111933. The reversal of 1357111921 is 1291117531.

The square root of 1357111921 is 36839.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1357111909) and next prime (1357111933).

It can be written as a sum of positive squares in 4 ways, for example, as 882743521 + 474368400 = 29711^2 + 21780^2 .

It is not a de Polignac number, because 1357111921 - 215 = 1357079153 is a prime.

It is a super-2 number, since 2×13571119212 = 3683505532240620482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1357111321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6888795 + ... + 6888991.

Almost surely, 21357111921 is an apocalyptic number.

1357111921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1357111921 is the 36839-th square number.

1357111921 is the 18420-th centered octagonal number.

It is an amenable number.

1357111921 is a deficient number, since it is larger than the sum of its proper divisors (235582896).

1357111921 is an equidigital number, since it uses as much as digits as its factorization.

1357111921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its digits is 1890, while the sum is 31.

The cubic root of 1357111921 is about 1107.1468322759.

The spelling of 1357111921 in words is "one billion, three hundred fifty-seven million, one hundred eleven thousand, nine hundred twenty-one".

Divisors: 1 11 17 121 187 197 289 2057 2167 3179 3349 23837 34969 36839 38809 56933 405229 426899 626263 659753 4695889 6888893 7257283 11215801 79830113 123373811 1357111921