Search a number
-
+
1020122212122 = 2321310143163333
BaseRepresentation
bin11101101100001000000…
…01011010011100011010
310121112010001220201020200
432312010001122130122
5113203202241241442
62100345423203030
7133462402506336
oct16660401323432
93545101821220
101020122212122
113636a4437772
12145858a46476
1375274093230
1437534a627c6
151b8080c334c
hexed8405a71a

1020122212122 has 48 divisors (see below), whose sum is σ = 2403852397128. Its totient is φ = 310775990400.

The previous prime is 1020122212049. The next prime is 1020122212159. The reversal of 1020122212122 is 2212122210201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 921928349241 + 98193862881 = 960171^2 + 313359^2 .

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 = 1020122212095 and 1020122212104.

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, 21558033 + ... + 21605300.

Almost surely, 21020122212122 is an apocalyptic number.

1020122212122 is an abundant number, since it is smaller than the sum of its proper divisors (1383730185006).

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

1020122212122 is a wasteful number, since it uses less digits than its factorization.

1020122212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43163455 (or 43163452 counting only the distinct ones).

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

Adding to 1020122212122 its reverse (2212122210201), we get a palindrome (3232244422323).

The spelling of 1020122212122 in words is "one trillion, twenty billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2626 3939 7878 11817 23634 43163333 86326666 129489999 258979998 388469997 561123329 776939994 1122246658 1683369987 3366739974 4359496633 5050109961 8718993266 10100219922 13078489899 26156979798 39235469697 56673456229 78470939394 113346912458 170020368687 340040737374 510061106061 1020122212122