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142221130000 = 2454101140813
BaseRepresentation
bin1000010001110100001…
…0100011100100010000
3111121002122010222022021
42010131002203210100
54312232102130000
6145200244221224
713163241441655
oct2043502434420
9447078128267
10142221130000
1155352135a74
122369169a814
1310546ab11c1
146c52609c2c
153a75c1411a
hex211d0a3910

142221130000 has 100 divisors (see below), whose sum is σ = 347743270908. Its totient is φ = 56324800000.

The previous prime is 142221129979. The next prime is 142221130001. The reversal of 142221130000 is 31122241.

It can be written as a sum of positive squares in 10 ways, for example, as 77843232016 + 64377897984 = 279004^2 + 253728^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (142221130001) 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 19 ways as a sum of consecutive naturals, for example, 939594 + ... + 1080406.

Almost surely, 2142221130000 is an apocalyptic number.

142221130000 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 142221130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173871635454).

142221130000 is an abundant number, since it is smaller than the sum of its proper divisors (205522140908).

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

142221130000 is a wasteful number, since it uses less digits than its factorization.

142221130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140942 (or 140921 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 142221130000 its reverse (31122241), we get a palindrome (142252252241).

The spelling of 142221130000 in words is "one hundred forty-two billion, two hundred twenty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 101000 126250 140813 202000 252500 281626 505000 563252 704065 1010000 1126504 1408130 2253008 2816260 3520325 5632520 7040650 11265040 14081300 14222113 17601625 28162600 28444226 35203250 56325200 56888452 70406500 71110565 88008125 113776904 140813000 142221130 176016250 227553808 281626000 284442260 352032500 355552825 568884520 704065000 711105650 1137769040 1408130000 1422211300 1777764125 2844422600 3555528250 5688845200 7111056500 8888820625 14222113000 17777641250 28444226000 35555282500 71110565000 142221130000