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142311101330000 = 245493191527107
BaseRepresentation
bin100000010110111001100010…
…101001000111001001010000
3200122212210211100010102011202
4200112321202221013021100
5122123111113420030000
61222400452321130332
741655431520334211
oct4026714251071120
9618783740112152
10142311101330000
1141387887726919
1213b64a17a899a8
136153b579b8c95
14271dc73409408
15116bc89580dd5
hex816e62a47250

142311101330000 has 100 divisors (see below), whose sum is σ = 344586605864160. Its totient is φ = 56918294832000.

The previous prime is 142311101329981. The next prime is 142311101330033. The reversal of 142311101330000 is 33101113241.

142311101330000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92426447 + ... + 93953553.

Almost surely, 2142311101330000 is an apocalyptic number.

142311101330000 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 142311101330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172293302932080).

142311101330000 is an abundant number, since it is smaller than the sum of its proper divisors (202275504534160).

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

142311101330000 is an equidigital number, since it uses as much as digits as its factorization.

142311101330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536454 (or 1536433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 142311101330000 its reverse (33101113241), we get a palindrome (142344202443241).

The spelling of 142311101330000 in words is "one hundred forty-two trillion, three hundred eleven billion, one hundred one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 9319 10000 18638 37276 46595 74552 93190 149104 186380 232975 372760 465950 745520 931900 1164875 1527107 1863800 2329750 3054214 3727600 4659500 5824375 6108428 7635535 9319000 11648750 12216856 15271070 18638000 23297500 24433712 30542140 38177675 46595000 61084280 76355350 93190000 122168560 152710700 190888375 305421400 381776750 610842800 763553500 954441875 1527107000 1908883750 3054214000 3817767500 7635535000 14231110133 15271070000 28462220266 56924440532 71155550665 113848881064 142311101330 227697762128 284622202660 355777753325 569244405320 711555506650 1138488810640 1423111013300 1778888766625 2846222026600 3557777533250 5692444053200 7115555066500 8894443833125 14231110133000 17788887666250 28462220266000 35577775332500 71155550665000 142311101330000