Search a number
-
+
1022112200011 = 7829754123357
BaseRepresentation
bin11101101111110101010…
…00100111010101001011
310121201020202102120102211
432313322220213111023
5113221241210400021
62101315111405551
7133562615231320
oct16677250472513
93551222376384
101022112200011
11364525766061
121461133838b7
1375500443366
1437683072b47
151b8c2b593e1
hexedfaa2754b

1022112200011 has 16 divisors (see below), whose sum is σ = 1169742479040. Its totient is φ = 874885864320.

The previous prime is 1022112199931. The next prime is 1022112200113. The reversal of 1022112200011 is 1100022112201.

It is a cyclic number.

It is not a de Polignac number, because 1022112200011 - 221 = 1022110102859 is a prime.

It is a super-2 number, since 2×10221122000112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022112199964 and 1022112200000.

It is not an unprimeable number, because it can be changed into a prime (1022112203011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43748745 + ... + 43772101.

It is an arithmetic number, because the mean of its divisors is an integer number (73108904940).

Almost surely, 21022112200011 is an apocalyptic number.

1022112200011 is a deficient number, since it is larger than the sum of its proper divisors (147630279029).

1022112200011 is an equidigital number, since it uses as much as digits as its factorization.

1022112200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31734.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022112200011 its reverse (1100022112201), we get a palindrome (2122134312212).

The spelling of 1022112200011 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred thousand, eleven".

Divisors: 1 7 829 5803 7541 23357 52787 163499 6251489 19362953 43760423 135540671 176135137 1232945959 146016028573 1022112200011