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1356001141 = 11217679839
BaseRepresentation
bin101000011010010…
…1110111101110101
310111111112222212111
41100310232331311
510234114014031
6342315451021
745413551045
oct12064567565
93444488774
101356001141
11636477800
1231a156a71
13187c14a51
14cc13b725
157e0a31b1
hex50d2ef75

1356001141 has 24 divisors (see below), whose sum is σ = 1601873280. Its totient is φ = 1142782080.

The previous prime is 1356001117. The next prime is 1356001151. The reversal of 1356001141 is 1411006531.

It is not a de Polignac number, because 1356001141 - 211 = 1355999093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356001151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132900 + ... + 142738.

It is an arithmetic number, because the mean of its divisors is an integer number (66744720).

Almost surely, 21356001141 is an apocalyptic number.

1356001141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1356001141 is a deficient number, since it is larger than the sum of its proper divisors (245872139).

1356001141 is a wasteful number, since it uses less digits than its factorization.

1356001141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1356001141 is about 36823.9207716940. The cubic root of 1356001141 is about 1106.8446876464.

Adding to 1356001141 its reverse (1411006531), we get a palindrome (2767007672).

The spelling of 1356001141 in words is "one billion, three hundred fifty-six million, one thousand, one hundred forty-one".

Divisors: 1 11 17 67 121 187 737 1139 2057 8107 9839 12529 108229 137819 167263 659213 1190519 1839893 7251343 11206621 20238823 79764773 123272831 1356001141