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101334240 = 2534571117
BaseRepresentation
bin1100000101000…
…11110011100000
321001200022110000
412002203303200
5201420143430
614015540000
72340220050
oct602436340
9231608400
10101334240
1152222a07
1229b2a600
1317cbcbb7
14d65b560
158d69e60
hex60a3ce0

101334240 has 240 divisors, whose sum is σ = 409080672. Its totient is φ = 23141376.

The previous prime is 101334223. The next prime is 101334241. The reversal of 101334240 is 42433101.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101334241) 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 39 ways as a sum of consecutive naturals, for example, 90162 + ... + 91278.

Almost surely, 2101334240 is an apocalyptic number.

101334240 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 101334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204540336).

101334240 is an abundant number, since it is smaller than the sum of its proper divisors (307746432).

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

101334240 is a wasteful number, since it uses less digits than its factorization.

101334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101334240 is about 10066.4909476937. The cubic root of 101334240 is about 466.2141009335.

Adding to 101334240 its reverse (42433101), we get a palindrome (143767341).

It can be divided in two parts, 1013 and 34240, that added together give a palindrome (35253).

The spelling of 101334240 in words is "one hundred one million, three hundred thirty-four thousand, two hundred forty".