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535131101 = 6189241409
BaseRepresentation
bin11111111001010…
…111001111011101
31101021221110212102
4133321113033131
52043443143401
6125033414445
716155352661
oct3771271735
91337843772
10535131101
11255081a0a
1212b26a425
1386b3572b
14510dc8a1
1531ea756b
hex1fe573dd

535131101 has 16 divisors (see below), whose sum is σ = 553647600. Its totient is φ = 517017600.

The previous prime is 535131073. The next prime is 535131127. The reversal of 535131101 is 101131535.

It can be written as a sum of positive squares in 8 ways, for example, as 4519876 + 530611225 = 2126^2 + 23035^2 .

It is a cyclic number.

It is not a de Polignac number, because 535131101 - 226 = 468022237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535131131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308185 + ... + 1308593.

It is an arithmetic number, because the mean of its divisors is an integer number (34602975).

Almost surely, 2535131101 is an apocalyptic number.

It is an amenable number.

535131101 is a deficient number, since it is larger than the sum of its proper divisors (18516499).

535131101 is a wasteful number, since it uses less digits than its factorization.

535131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 535131101 is about 23132.9008340934. The cubic root of 535131101 is about 811.8704430029.

Adding to 535131101 its reverse (101131535), we get a palindrome (636262636).

The spelling of 535131101 in words is "five hundred thirty-five million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 61 89 241 409 5429 14701 21449 24949 36401 98569 1308389 2220461 6012709 8772641 535131101