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2422442102031 = 3373377069583
BaseRepresentation
bin100011010000000100110…
…011010000110100001111
322120120202011012010102000
4203100010303100310033
5304142130134231111
65052504325203343
7340005242061000
oct43200463206417
98516664163360
102422442102031
11854396460646
1233159ab60553
131475874b7513
14853653d71a7
154302ec32c56
hex23404cd0d0f

2422442102031 has 64 divisors (see below), whose sum is σ = 4298307072000. Its totient is φ = 1346840205984.

The previous prime is 2422442102021. The next prime is 2422442102089. The reversal of 2422442102031 is 1302012442242.

It is a happy number.

2422442102031 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 442 + 10 + 203 + 1 = 666.

It is not a de Polignac number, because 2422442102031 - 25 = 2422442101999 is a prime.

It is a super-2 number, since 2×24224421020312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2422442101986 and 2422442102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422442102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3192135 + ... + 3877448.

It is an arithmetic number, because the mean of its divisors is an integer number (67161048000).

Almost surely, 22422442102031 is an apocalyptic number.

2422442102031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2422442102031 is a deficient number, since it is larger than the sum of its proper divisors (1875864969969).

2422442102031 is an equidigital number, since it uses as much as digits as its factorization.

2422442102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069650 (or 7069630 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2422442102031 its reverse (1302012442242), we get a palindrome (3724454544273).

The spelling of 2422442102031 in words is "two trillion, four hundred twenty-two billion, four hundred forty-two million, one hundred two thousand, thirty-one".

Divisors: 1 3 7 9 21 27 37 49 63 111 147 189 259 333 343 441 777 999 1029 1323 1813 2331 3087 5439 6993 9261 12691 16317 38073 48951 114219 342657 7069583 21208749 49487081 63626247 148461243 190878741 261574571 346409567 445383729 784723713 1039228701 1336151187 1831021997 2354171139 2424866969 3117686103 5493065991 7062513417 7274600907 9353058309 12817153979 16479197973 21823802721 38451461937 49437593919 65471408163 89720077853 115354385811 269160233559 346063157433 807480700677 2422442102031