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142210100 = 22521783653
BaseRepresentation
bin10000111100111…
…11010000110100
3100220121000120202
420132133100310
5242401210400
622040020032
73344523464
oct1036372064
9326530522
10142210100
117330160a
123b761618
13236022b6
1414c5bba4
15c7414d5
hex879f434

142210100 has 36 divisors (see below), whose sum is σ = 326752524. Its totient is φ = 53537280.

The previous prime is 142210097. The next prime is 142210141. The reversal of 142210100 is 1012241.

142210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19044496 + 123165604 = 4364^2 + 11098^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40127 + ... + 43526.

It is an arithmetic number, because the mean of its divisors is an integer number (9076459).

Almost surely, 2142210100 is an apocalyptic number.

142210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142210100 is an abundant number, since it is smaller than the sum of its proper divisors (184542424).

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

142210100 is a wasteful number, since it uses less digits than its factorization.

142210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83684 (or 83677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 142210100 is about 11925.1876295512. The cubic root of 142210100 is about 521.9675214546.

Adding to 142210100 its reverse (1012241), we get a palindrome (143222341).

The spelling of 142210100 in words is "one hundred forty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 83653 167306 334612 418265 836530 1422101 1673060 2091325 2844202 4182650 5688404 7110505 8365300 14221010 28442020 35552525 71105050 142210100