[go: up one dir, main page]

Search a number
-
+
101412000 = 253453313
BaseRepresentation
bin1100000101101…
…10110010100000
321001211021010000
412002312302200
5201430141000
614021340000
72340662544
oct602666240
9231737100
10101412000
1152276378
1229b67600
1318019401
14d67ba24
158d83000
hex60b6ca0

101412000 has 240 divisors, whose sum is σ = 373405032. Its totient is φ = 26956800.

The previous prime is 101411957. The next prime is 101412013. The reversal of 101412000 is 214101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 96589584 = 2196^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 323844 + ... + 324156.

Almost surely, 2101412000 is an apocalyptic number.

101412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186702516).

101412000 is an abundant number, since it is smaller than the sum of its proper divisors (271993032).

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

101412000 is an equidigital number, since it uses as much as digits as its factorization.

101412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101412000 is about 10070.3525261035. The cubic root of 101412000 is about 466.3333220360. Note that the first 4 decimals are identical.

Adding to 101412000 its reverse (214101), we get a palindrome (101626101).

The spelling of 101412000 in words is "one hundred one million, four hundred twelve thousand".