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100505533 is a prime number
BaseRepresentation
bin1011111110110…
…01011110111101
321000010012200011
411333121132331
5201212134113
613550103221
72330166022
oct577313675
9230105604
10100505533
1151807327
12297aab11
1317a8c93b
14d4c3549
158c5463d
hex5fd97bd

100505533 has 2 divisors, whose sum is σ = 100505534. Its totient is φ = 100505532.

The previous prime is 100505527. The next prime is 100505539. The reversal of 100505533 is 335505001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (100505527) and next prime (100505539).

It can be written as a sum of positive squares in only one way, i.e., 80676324 + 19829209 = 8982^2 + 4453^2 .

It is a cyclic number.

It is not a de Polignac number, because 100505533 - 29 = 100505021 is a prime.

It is a super-2 number, since 2×1005055332 = 20202724327228178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100505539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50252766 + 50252767.

It is an arithmetic number, because the mean of its divisors is an integer number (50252767).

Almost surely, 2100505533 is an apocalyptic number.

It is an amenable number.

100505533 is a deficient number, since it is larger than the sum of its proper divisors (1).

100505533 is an equidigital number, since it uses as much as digits as its factorization.

100505533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1125, while the sum is 22.

The square root of 100505533 is about 10025.2447850414. The cubic root of 100505533 is about 464.9397278029.

The spelling of 100505533 in words is "one hundred million, five hundred five thousand, five hundred thirty-three".