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211200992442 = 232115918079181
BaseRepresentation
bin1100010010110010001…
…1110110010010111010
3202012010221221001112100
43010230203312102322
511430014423224232
6241005134124230
721154520546436
oct3045443662272
9665127831470
10211200992442
118162a4aa650
1234b22950676
1316bbaa8a75b
14a3179519c6
1557619b6c7c
hex312c8f64ba

211200992442 has 48 divisors (see below), whose sum is σ = 507663430560. Its totient is φ = 62915546400.

The previous prime is 211200992417. The next prime is 211200992461. The reversal of 211200992442 is 244299002112.

211200992442 is a `hidden beast` number, since 2 + 1 + 1 + 200 + 9 + 9 + 2 + 442 = 666.

211200992442 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112009924422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211200992397 and 211200992406.

It is an unprimeable number.

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, 9027909 + ... + 9051272.

It is an arithmetic number, because the mean of its divisors is an integer number (10576321470).

Almost surely, 2211200992442 is an apocalyptic number.

211200992442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211200992442 is an abundant number, since it is smaller than the sum of its proper divisors (296462438118).

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

211200992442 is a wasteful number, since it uses less digits than its factorization.

211200992442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079259 (or 18079256 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 211200992442 its reverse (244299002112), we get a palindrome (455499994554).

The spelling of 211200992442 in words is "two hundred eleven billion, two hundred million, nine hundred ninety-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 11682 18079181 36158362 54237543 108475086 162712629 198870991 325425258 397741982 596612973 1066671679 1193225946 1789838919 2133343358 3200015037 3579677838 6400030074 9600045111 11733388469 19200090222 23466776938 35200165407 70400330814 105600496221 211200992442