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42142322200 = 23521119155601
BaseRepresentation
bin100111001111111000…
…001100111000011000
311000202222012210002011
4213033320030320120
51142301413302300
631205424115304
73021216554056
oct471770147030
9130688183064
1042142322200
1116966273460
128201465b34
133c87b6ac34
14207ad131d6
151169b0deba
hex9cfe0ce18

42142322200 has 48 divisors (see below), whose sum is σ = 106888259160. Its totient is φ = 15324480000.

The previous prime is 42142322153. The next prime is 42142322203. The reversal of 42142322200 is 222324124.

42142322200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421423222002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142322203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9575601 + ... + 9580000.

Almost surely, 242142322200 is an apocalyptic number.

42142322200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42142322200 is an abundant number, since it is smaller than the sum of its proper divisors (64745936960).

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

42142322200 is a wasteful number, since it uses less digits than its factorization.

42142322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19155628 (or 19155619 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 42142322200 its reverse (222324124), we get a palindrome (42364646324).

The spelling of 42142322200 in words is "forty-two billion, one hundred forty-two million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 19155601 38311202 76622404 95778005 153244808 191556010 210711611 383112020 421423222 478890025 766224040 842846444 957780050 1053558055 1685692888 1915560100 2107116110 3831120200 4214232220 5267790275 8428464440 10535580550 21071161100 42142322200