Search a number
-
+
2022112123031 = 7111317401329611
BaseRepresentation
bin11101011011001111010…
…001100101100010010111
321011022102110201002022202
4131123033101211202113
5231112241200414111
64144540120315115
7266043552310040
oct35331721454227
97138373632282
102022112123031
1170a633639130
12287a95312a9b
131188b86b2b40
146dc294998c7
15378ee3a7b3b
hex1d6cf465897

2022112123031 has 64 divisors (see below), whose sum is σ = 2875523245056. Its totient is φ = 1368522086400.

The previous prime is 2022112123021. The next prime is 2022112123051. The reversal of 2022112123031 is 1303212112202.

It is not a de Polignac number, because 2022112123031 - 238 = 1747234216087 is a prime.

It is a super-2 number, since 2×20221121230312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2022112122994 and 2022112123012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022112123021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68274416 + ... + 68304026.

It is an arithmetic number, because the mean of its divisors is an integer number (44930050704).

Almost surely, 22022112123031 is an apocalyptic number.

2022112123031 is a deficient number, since it is larger than the sum of its proper divisors (853411122025).

2022112123031 is a wasteful number, since it uses less digits than its factorization.

2022112123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33672.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2022112123031 its reverse (1303212112202), we get a palindrome (3325324235233).

The spelling of 2022112123031 in words is "two trillion, twenty-two billion, one hundred twelve million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 1001 1309 1547 2431 4013 17017 28091 29611 44143 52169 68221 207277 309001 325721 365183 384943 477547 503387 573859 750431 886873 2280047 2694601 3523709 4017013 4234373 5253017 5537257 6208111 6544031 9755603 29640611 38760799 45808217 68289221 71984341 118828943 503890387 831802601 1307118373 1544776259 2020092031 9149828611 10813433813 14140644217 16992538849 22221012341 26261196403 118947771943 155547086387 183828374821 288873160433 2022112123031