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145103312 = 243129437
BaseRepresentation
bin10001010011000…
…01100111010000
3101010001000022202
420221201213100
5244121301222
622222022332
73411233504
oct1051414720
9333030282
10145103312
11749a82a2
12407179a8
13240a6163
14153b2304
15cb13892
hex8a619d0

145103312 has 30 divisors (see below), whose sum is σ = 290529954. Its totient is φ = 70203840.

The previous prime is 145103311. The next prime is 145103317. The reversal of 145103312 is 213301541.

It can be written as a sum of positive squares in only one way, i.e., 127328656 + 17774656 = 11284^2 + 4216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145103311) 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 5 ways as a sum of consecutive naturals, for example, 10658 + ... + 20094.

Almost surely, 2145103312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145264977).

145103312 is an abundant number, since it is smaller than the sum of its proper divisors (145426642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145103312 is an equidigital number, since it uses as much as digits as its factorization.

145103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9507 (or 9470 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 145103312 is about 12045.8836122553. The cubic root of 145103312 is about 525.4835297359.

Adding to 145103312 its reverse (213301541), we get a palindrome (358404853).

The spelling of 145103312 in words is "one hundred forty-five million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 9437 15376 18874 37748 75496 150992 292547 585094 1170188 2340376 4680752 9068957 18137914 36275828 72551656 145103312