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103222211121 = 3213818304949
BaseRepresentation
bin110000000100010000…
…1011111001000110001
3100212102201210121221100
41200020201133020301
53142344341223441
6115230350115013
710312641214011
oct1401041371061
9325381717840
10103222211121
113a85a279aa7
1218008aaba69
139970256c43
144dd2d8bc41
152a42073cb6
hex180885f231

103222211121 has 12 divisors (see below), whose sum is σ = 149206731700. Its totient is φ = 68764969440.

The previous prime is 103222211087. The next prime is 103222211159. The reversal of 103222211121 is 121112222301.

103222211121 is a `hidden beast` number, since 1 + 0 + 322 + 221 + 1 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63976620096 + 39245591025 = 252936^2 + 198105^2 .

It is not a de Polignac number, because 103222211121 - 211 = 103222209073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103222211094 and 103222211103.

It is not an unprimeable number, because it can be changed into a prime (103222211161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4140046 + ... + 4164903.

Almost surely, 2103222211121 is an apocalyptic number.

It is an amenable number.

103222211121 is a deficient number, since it is larger than the sum of its proper divisors (45984520579).

103222211121 is a wasteful number, since it uses less digits than its factorization.

103222211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306336 (or 8306333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103222211121 its reverse (121112222301), we get a palindrome (224334433422).

The spelling of 103222211121 in words is "one hundred three billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 1381 4143 12429 8304949 24914847 74744541 11469134569 34407403707 103222211121