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103531428169 = 1325324672
BaseRepresentation
bin110000001101011110…
…1000011100101001001
3100220020021122110222121
41200122331003211021
53144013021200134
6115321153451241
710323414422311
oct1403275034511
9326207573877
10103531428169
113a9a8879384
1218094570b21
1399bc331100
145022080441
152a5e2a3ab4
hex181af43949

103531428169 has 27 divisors (see below), whose sum is σ = 114508350453. Its totient is φ = 93563532192.

The previous prime is 103531428149. The next prime is 103531428173. The reversal of 103531428169 is 961824135301.

The square root of 103531428169 is 321763.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2687074569 + 100844353600 = 51837^2 + 317560^2 .

It is not a de Polignac number, because 103531428169 - 25 = 103531428137 is a prime.

It is a super-2 number, since 2×1035314281692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103531428139) 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 26 ways as a sum of consecutive naturals, for example, 221694474 + ... + 221694940.

Almost surely, 2103531428169 is an apocalyptic number.

103531428169 is the 321763-rd square number.

103531428169 is the 160882-nd centered octagonal number.

It is an amenable number.

103531428169 is a deficient number, since it is larger than the sum of its proper divisors (10976922284).

103531428169 is an frugal number, since it uses more digits than its factorization.

103531428169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 103531428169 in words is "one hundred three billion, five hundred thirty-one million, four hundred twenty-eight thousand, one hundred sixty-nine".

Divisors: 1 13 53 169 467 689 2809 6071 8957 24751 36517 78923 218089 321763 474721 1311803 2835157 4182919 11558717 17053439 36857041 150263321 221694707 612612001 1953423173 7963956013 103531428169