Search a number
-
+
1002002102212 = 221922930617817
BaseRepresentation
bin11101001010010111111…
…10101011011111000100
310112210100020201202101211
432211023332223133010
5112404100014232322
62044151410301204
7132251355224506
oct16451376533704
93483306652354
101002002102212
11356a46078a21
12142240587804
1373646cca9c7
14366d62cbd76
151b0e73e1b77
hexe94bfab7c4

1002002102212 has 72 divisors (see below), whose sum is σ = 1915336667160. Its totient is φ = 458057617920.

The previous prime is 1002002102203. The next prime is 1002002102237. The reversal of 1002002102212 is 2122012002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99285489216 + 902716612996 = 315096^2 + 950114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002002102192 and 1002002102201.

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, 128178528 + ... + 128186344.

It is an arithmetic number, because the mean of its divisors is an integer number (26601898155).

Almost surely, 21002002102212 is an apocalyptic number.

It is an amenable number.

1002002102212 is a deficient number, since it is larger than the sum of its proper divisors (913334564948).

1002002102212 is a wasteful number, since it uses less digits than its factorization.

1002002102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10949 (or 10928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002002102212 its reverse (2122012002001), we get a palindrome (3124014104213).

The spelling of 1002002102212 in words is "one trillion, two billion, two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 19 29 38 58 76 116 361 551 722 1102 1444 2204 3061 6122 7817 10469 12244 15634 20938 31268 41876 58159 88769 116318 148523 177538 226693 232636 297046 355076 453386 594092 906772 1105021 1686611 2210042 2821937 3373222 4307167 4420084 5643874 6746444 8614334 11287748 17228668 23927837 32045609 47855674 64091218 81836173 95711348 128182436 163672346 327344692 454628903 693907273 909257806 1387814546 1818515612 2775629092 8637949157 13184238187 17275898314 26368476374 34551796628 52736952748 250500525553 501001051106 1002002102212