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135311417 = 8910115053
BaseRepresentation
bin10000001000010…
…11000000111001
3100102121112100222
420010023000321
5234114431132
621232105425
73232061633
oct1004130071
9312545328
10135311417
116a41a51a
1239395275
1322058237
1413d83a53
15bd2c412
hex810b039

135311417 has 8 divisors (see below), whose sum is σ = 138195720. Its totient is φ = 132457600.

The previous prime is 135311399. The next prime is 135311447. The reversal of 135311417 is 714113531.

It can be written as a sum of positive squares in 4 ways, for example, as 70492816 + 64818601 = 8396^2 + 8051^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135311417 - 222 = 131117113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135311447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1463 + ... + 16515.

It is an arithmetic number, because the mean of its divisors is an integer number (17274465).

Almost surely, 2135311417 is an apocalyptic number.

It is an amenable number.

135311417 is a deficient number, since it is larger than the sum of its proper divisors (2884303).

135311417 is a wasteful number, since it uses less digits than its factorization.

135311417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243.

The product of its digits is 1260, while the sum is 26.

The square root of 135311417 is about 11632.3435729865. The cubic root of 135311417 is about 513.3869370665.

Adding to 135311417 its reverse (714113531), we get a palindrome (849424948).

The spelling of 135311417 in words is "one hundred thirty-five million, three hundred eleven thousand, four hundred seventeen".

Divisors: 1 89 101 8989 15053 1339717 1520353 135311417