Search a number
-
+
2210201002101 = 317199431505279
BaseRepresentation
bin100000001010011010001…
…111101110000001110101
321211021220201010010122010
4200022122033232001311
5242202442424031401
64411204033554433
7315452561354001
oct40123217560165
97737821103563
102210201002101
11782382933934
122b8427a15a19
131305620b9161
1478d8d697701
153c75bcb5ed6
hex2029a3ee075

2210201002101 has 32 divisors (see below), whose sum is σ = 3143245824000. Its totient is φ = 1376619805440.

The previous prime is 2210201002099. The next prime is 2210201002117. The reversal of 2210201002101 is 1012001020122.

It is not a de Polignac number, because 2210201002101 - 21 = 2210201002099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210201002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4121580 + ... + 4626858.

It is an arithmetic number, because the mean of its divisors is an integer number (98226432000).

Almost surely, 22210201002101 is an apocalyptic number.

It is an amenable number.

2210201002101 is a deficient number, since it is larger than the sum of its proper divisors (933044821899).

2210201002101 is a wasteful number, since it uses less digits than its factorization.

2210201002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505929.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2210201002101 its reverse (1012001020122), we get a palindrome (3222202022223).

The spelling of 2210201002101 in words is "two trillion, two hundred ten billion, two hundred one million, two thousand, one hundred one".

Divisors: 1 3 17 51 199 431 597 1293 3383 7327 10149 21981 85769 257307 505279 1458073 1515837 4374219 8589743 25769229 100550521 217775249 301651563 653325747 1709358857 3702179233 5128076571 11106537699 43337274551 130011823653 736733667367 2210201002101