Search a number
-
+
10000120002201 = 3271923711883811
BaseRepresentation
bin1001000110000101010110…
…0110011011011010011001
31022102000001120000222220100
42101201111212123122121
52302320221210032301
633133554113050013
72051325203345040
oct221412546333231
938360046028810
1010000120002201
11320603304749a
12115610bb56909
13577012c83444
14268019049557
151251d5749286
hex9185599b699

10000120002201 has 72 divisors (see below), whose sum is σ = 17893598334144. Its totient is φ = 5267284873920.

The previous prime is 10000120002161. The next prime is 10000120002221. The reversal of 10000120002201 is 10220002100001.

It is not a de Polignac number, because 10000120002201 - 234 = 9982940133017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000120002221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5100415 + ... + 6783396.

Almost surely, 210000120002201 is an apocalyptic number.

It is an amenable number.

10000120002201 is a deficient number, since it is larger than the sum of its proper divisors (7893478331943).

10000120002201 is a wasteful number, since it uses less digits than its factorization.

10000120002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11883899 (or 11883877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000120002201 its reverse (10220002100001), we get a palindrome (20220122102202).

The spelling of 10000120002201 in words is "ten trillion, one hundred twenty million, two thousand, two hundred one".

Divisors: 1 3 7 9 19 21 37 57 63 111 133 171 259 333 361 399 703 777 1083 1197 2109 2331 2527 3249 4921 6327 7581 13357 14763 22743 40071 44289 93499 120213 280497 841491 11883811 35651433 83186677 106954299 225792409 249560031 439701007 677377227 748680093 1319103021 1580546863 2032131681 3077907049 3957309063 4290055771 4741640589 8354319133 9233721147 12870167313 14224921767 25062957399 27701163441 30030390397 38610501939 58480233931 75188872197 90091171191 158732063527 175440701793 270273513573 476196190581 526322105379 1111124444689 1428588571743 3333373334067 10000120002201