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135597795531 = 311101149273043
BaseRepresentation
bin111111001001001000…
…0100010100011001011
3110222000001011201111020
41332102100202203023
54210201013424111
6142143123203523
712540145146642
oct1762220424313
9428001151436
10135597795531
1152563469830
12223435165a3
13ca2c839793
1467c4adc359
1537d94ee906
hex1f924228cb

135597795531 has 32 divisors (see below), whose sum is σ = 200523513600. Its totient is φ = 80820432000.

The previous prime is 135597795503. The next prime is 135597795533.

135597795531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135597795531 - 211 = 135597793483 is a prime.

It is a super-2 number, since 2×1355977955312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135597795533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360096 + ... + 633138.

It is an arithmetic number, because the mean of its divisors is an integer number (6266359800).

Almost surely, 2135597795531 is an apocalyptic number.

135597795531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135597795531 is a deficient number, since it is larger than the sum of its proper divisors (64925718069).

135597795531 is a wasteful number, since it uses less digits than its factorization.

135597795531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273307.

The product of its digits is 22325625, while the sum is 60.

The spelling of 135597795531 in words is "one hundred thirty-five billion, five hundred ninety-seven million, seven hundred ninety-five thousand, five hundred thirty-one".

Divisors: 1 3 11 33 101 149 303 447 1111 1639 3333 4917 15049 45147 165539 273043 496617 819129 3003473 9010419 27577343 40683407 82732029 122050221 303350773 447517477 910052319 1342552431 4109024107 12327072321 45199265177 135597795531