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103024361 = 1122573313
BaseRepresentation
bin1100010010000…
…00011011101001
321011212011212002
412021000123221
5202333234421
614120100345
72360456366
oct611003351
9234764762
10103024361
1153177800
122a6046b5
131846227b
14d97b46d
1590a0b0b
hex62406e9

103024361 has 12 divisors (see below), whose sum is σ = 113716596. Its totient is φ = 93265920.

The previous prime is 103024357. The next prime is 103024373. The reversal of 103024361 is 163420301.

It can be written as a sum of positive squares in 2 ways, for example, as 98883136 + 4141225 = 9944^2 + 2035^2 .

It is not a de Polignac number, because 103024361 - 22 = 103024357 is a prime.

It is a super-2 number, since 2×1030243612 = 21228037918916642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103024321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29441 + ... + 32753.

It is an arithmetic number, because the mean of its divisors is an integer number (9476383).

Almost surely, 2103024361 is an apocalyptic number.

103024361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103024361 is a deficient number, since it is larger than the sum of its proper divisors (10692235).

103024361 is a wasteful number, since it uses less digits than its factorization.

103024361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 103024361 is about 10150.0916744628. The cubic root of 103024361 is about 468.7917676323.

Adding to 103024361 its reverse (163420301), we get a palindrome (266444662).

The spelling of 103024361 in words is "one hundred three million, twenty-four thousand, three hundred sixty-one".

Divisors: 1 11 121 257 2827 3313 31097 36443 400873 851441 9365851 103024361