Search a number
-
+
1022221122021 = 321116761829137
BaseRepresentation
bin11101110000000010010…
…00000111100111100101
310121201112100101101100100
432320001020013213211
5113222002101401041
62101334002134313
7133565410113231
oct16700110074745
93551470341310
101022221122021
113645811a0850
12146143951399
1375519b8bb58
14376937075c1
151b8cc4c26b6
hexee012079e5

1022221122021 has 24 divisors (see below), whose sum is σ = 1620418048704. Its totient is φ = 615818194560.

The previous prime is 1022221121989. The next prime is 1022221122047. The reversal of 1022221122021 is 1202211222201.

It is a happy number.

1022221122021 is a `hidden beast` number, since 10 + 222 + 211 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 1022221122021 - 25 = 1022221121989 is a prime.

It is a super-2 number, since 2×10222211220212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022221121985 and 1022221122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022221122121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30898036 + ... + 30931101.

It is an arithmetic number, because the mean of its divisors is an integer number (67517418696).

Almost surely, 21022221122021 is an apocalyptic number.

1022221122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022221122021 is a deficient number, since it is larger than the sum of its proper divisors (598196926683).

1022221122021 is a wasteful number, since it uses less digits than its factorization.

1022221122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61829321 (or 61829318 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022221122021 its reverse (1202211222201), we get a palindrome (2224432344222).

The spelling of 1022221122021 in words is "one trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 99 167 501 1503 1837 5511 16533 61829137 185487411 556462233 680120507 2040361521 6121084563 10325465879 30976397637 92929192911 113580124669 340740374007 1022221122021