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100531353 = 31317151631
BaseRepresentation
bin1011111110111…
…11110010011001
321000011112002110
411333133302121
5201214000403
613550422533
72330334216
oct577376231
9230145073
10100531353
115182476a
1229801a49
1317a9b610
14d4ccb0d
158c5c103
hex5fdfc99

100531353 has 16 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 58225920.

The previous prime is 100531351. The next prime is 100531373. The reversal of 100531353 is 353135001.

It is a happy number.

It is not a de Polignac number, because 100531353 - 21 = 100531351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100531351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75153 + ... + 76478.

It is an arithmetic number, because the mean of its divisors is an integer number (9552816).

Almost surely, 2100531353 is an apocalyptic number.

100531353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100531353 is a deficient number, since it is larger than the sum of its proper divisors (52313703).

100531353 is a wasteful number, since it uses less digits than its factorization.

100531353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151664.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 100531353 is about 10026.5324514510. The cubic root of 100531353 is about 464.9795389309.

Adding to 100531353 its reverse (353135001), we get a palindrome (453666354).

The spelling of 100531353 in words is "one hundred million, five hundred thirty-one thousand, three hundred fifty-three".

Divisors: 1 3 13 17 39 51 221 663 151631 454893 1971203 2577727 5913609 7733181 33510451 100531353