Search a number
-
+
3320210011122 = 2323720892386453
BaseRepresentation
bin110000010100001011111…
…100000011001111110010
3102202102001010220020112200
4300110023330003033302
5413344242230323442
611021141115204030
7461606620304604
oct60241374031762
912672033806480
103320210011122
111070102aa2504
1245758b746616
131b112c6b7374
14b69b018b174
155b57630434c
hex3050bf033f2

3320210011122 has 48 divisors (see below), whose sum is σ = 7391754890520. Its totient is φ = 1076308943616.

The previous prime is 3320210011067. The next prime is 3320210011163. The reversal of 3320210011122 is 2211100120233.

3320210011122 is a `hidden beast` number, since 3 + 320 + 210 + 0 + 11 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3218403708081 + 101806303041 = 1793991^2 + 319071^2 .

It is a super-2 number, since 2×33202100111222 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3320210011095 and 3320210011104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198048 + ... + 2584500.

Almost surely, 23320210011122 is an apocalyptic number.

3320210011122 is an abundant number, since it is smaller than the sum of its proper divisors (4071544879398).

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

3320210011122 is a wasteful number, since it uses less digits than its factorization.

3320210011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388587 (or 2388584 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3320210011122 its reverse (2211100120233), we get a palindrome (5531310131355).

The spelling of 3320210011122 in words is "three trillion, three hundred twenty billion, two hundred ten million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 2089 4178 6267 12534 18801 37602 77293 154586 231879 463758 695637 1391274 2386453 4772906 7159359 14318718 21478077 42956154 88298761 176597522 264896283 529792566 794688849 1589377698 4985300317 9970600634 14955900951 29911801902 44867702853 89735405706 184456111729 368912223458 553368335187 1106736670374 1660105005561 3320210011122