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142100222230100 = 225219119733770807
BaseRepresentation
bin100000010011110101001001…
…010001001011111001010100
3200122010122111210220012012102
4200103311021101023321110
5122111132223342330400
61222115535122141232
741634254655504611
oct4023651121137124
9618118453805172
10142100222230100
11413064029a3972
1213b2bb84ab1818
136139cbb822cb4
14271398a529508
151166545e9e9d5
hex813d4944be54

142100222230100 has 72 divisors (see below), whose sum is σ = 310129108466688. Its totient is φ = 56513823683200.

The previous prime is 142100222230081. The next prime is 142100222230123. The reversal of 142100222230100 is 1032222001241.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35798897 + ... + 39569703.

It is an arithmetic number, because the mean of its divisors is an integer number (4307348728704).

Almost surely, 2142100222230100 is an apocalyptic number.

142100222230100 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 142100222230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155064554233344).

142100222230100 is an abundant number, since it is smaller than the sum of its proper divisors (168028886236588).

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

142100222230100 is a wasteful number, since it uses less digits than its factorization.

142100222230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772985 (or 3772978 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142100222230100 its reverse (1032222001241), we get a palindrome (143132444231341).

The spelling of 142100222230100 in words is "one hundred forty-two trillion, one hundred billion, two hundred twenty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 1973 3820 3946 4775 7892 9550 9865 19100 19730 39460 49325 98650 197300 376843 753686 1507372 1884215 3768430 3770807 7536860 7541614 9421075 15083228 18842150 18854035 37684300 37708070 75416140 94270175 188540350 377080700 720224137 1440448274 2880896548 3601120685 7202241370 7439802211 14404482740 14879604422 18005603425 29759208844 36011206850 37199011055 72022413700 74398022110 148796044220 185995055275 371990110550 743980221100 1421002222301 2842004444602 5684008889204 7105011111505 14210022223010 28420044446020 35525055557525 71050111115050 142100222230100