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142230110100 = 223521336469259
BaseRepresentation
bin1000010001110110010…
…0110011111110010100
3111121010021001012200120
42010131210303332110
54312241402010400
6145201204511540
713163410663011
oct2043544637624
9447107035616
10142230110100
1155357209941
12236946ab5b0
1310548906780
146c538a6708
153a768d9ca0
hex211d933f94

142230110100 has 72 divisors (see below), whose sum is σ = 443174447520. Its totient is φ = 35010487680.

The previous prime is 142230110083. The next prime is 142230110101. The reversal of 142230110100 is 1011032241.

142230110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142230110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142230110101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18230730 + ... + 18238529.

It is an arithmetic number, because the mean of its divisors is an integer number (6155200660).

Almost surely, 2142230110100 is an apocalyptic number.

142230110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142230110100 is an abundant number, since it is smaller than the sum of its proper divisors (300944337420).

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

142230110100 is a wasteful number, since it uses less digits than its factorization.

142230110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36469289 (or 36469282 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 142230110100 its reverse (1011032241), we get a palindrome (143241142341).

The spelling of 142230110100 in words is "one hundred forty-two billion, two hundred thirty million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 36469259 72938518 109407777 145877036 182346295 218815554 364692590 437631108 474100367 547038885 729385180 911731475 948200734 1094077770 1422301101 1823462950 1896401468 2188155540 2370501835 2735194425 2844602202 3646925900 4741003670 5470388850 5689204404 7111505505 9482007340 10940777700 11852509175 14223011010 23705018350 28446022020 35557527525 47410036700 71115055050 142230110100