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101142324 = 22338811063
BaseRepresentation
bin1100000011101…
…00111100110100
321001022120012000
412001310330310
5201343023244
614011455300
72335460403
oct601647464
9231276160
10101142324
11521017a8
1229a57530
1317c5373a
14d60b63a
158d2d169
hex6074f34

101142324 has 48 divisors (see below), whose sum is σ = 262765440. Its totient is φ = 33644160.

The previous prime is 101142311. The next prime is 101142341. The reversal of 101142324 is 423241101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101142297 and 101142306.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 94617 + ... + 95679.

It is an arithmetic number, because the mean of its divisors is an integer number (5474280).

Almost surely, 2101142324 is an apocalyptic number.

It is an amenable number.

101142324 is an abundant number, since it is smaller than the sum of its proper divisors (161623116).

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

101142324 is a wasteful number, since it uses less digits than its factorization.

101142324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101142324 is about 10056.9540120257. The cubic root of 101142324 is about 465.9195953793.

Adding to 101142324 its reverse (423241101), we get a palindrome (524383425).

The spelling of 101142324 in words is "one hundred one million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 881 1063 1762 2126 2643 3189 3524 4252 5286 6378 7929 9567 10572 12756 15858 19134 23787 28701 31716 38268 47574 57402 95148 114804 936503 1873006 2809509 3746012 5619018 8428527 11238036 16857054 25285581 33714108 50571162 101142324