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101142440 = 2357361223
BaseRepresentation
bin1100000011101…
…00111110101000
321001022120100022
412001310332220
5201343024230
614011500012
72335460630
oct601647650
9231276308
10101142440
11521018a3
1229a57608
1317c537c9
14d60b6c0
158d2d1e5
hex6074fa8

101142440 has 32 divisors (see below), whose sum is σ = 260081280. Its totient is φ = 34677312.

The previous prime is 101142439. The next prime is 101142443. The reversal of 101142440 is 44241101.

It is not an unprimeable number, because it can be changed into a prime (101142443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180332 + ... + 180891.

It is an arithmetic number, because the mean of its divisors is an integer number (8127540).

Almost surely, 2101142440 is an apocalyptic number.

101142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142440 is an abundant number, since it is smaller than the sum of its proper divisors (158938840).

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

101142440 is a wasteful number, since it uses less digits than its factorization.

101142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361241 (or 361237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 101142440 is about 10056.9597791778. The cubic root of 101142440 is about 465.9197735001.

Adding to 101142440 its reverse (44241101), we get a palindrome (145383541).

It can be divided in two parts, 10 and 1142440, that multiplied together give a square (11424400 = 33802).

The spelling of 101142440 in words is "one hundred one million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 361223 722446 1444892 1806115 2528561 2889784 3612230 5057122 7224460 10114244 12642805 14448920 20228488 25285610 50571220 101142440