Search a number
-
+
101453312 = 291910429
BaseRepresentation
bin1100000110000…
…00111000000000
321001220100210002
412003000320000
5201433001222
614022255132
72341224152
oct603007000
9231810702
10101453312
11522a4414
1229b874a8
131803215c
14d68cad2
158d90392
hex60c0e00

101453312 has 40 divisors (see below), whose sum is σ = 213397800. Its totient is φ = 48052224.

The previous prime is 101453267. The next prime is 101453329. The reversal of 101453312 is 213354101.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4514 + ... + 14942.

It is an arithmetic number, because the mean of its divisors is an integer number (5334945).

Almost surely, 2101453312 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 101453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106698900).

101453312 is an abundant number, since it is smaller than the sum of its proper divisors (111944488).

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

101453312 is an equidigital number, since it uses as much as digits as its factorization.

101453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10466 (or 10450 counting only the distinct ones).

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

The square root of 101453312 is about 10072.4034867553. The cubic root of 101453312 is about 466.3966365247.

The spelling of 101453312 in words is "one hundred one million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 10429 20858 41716 83432 166864 198151 333728 396302 667456 792604 1334912 1585208 2669824 3170416 5339648 6340832 12681664 25363328 50726656 101453312