Search a number
-
+
10221222021201 = 336116373791059
BaseRepresentation
bin1001010010111101000001…
…0011101100100001010001
31100012010202112111022112000
42110233100103230201101
52314431030314134301
633423321540424213
72103313260451242
oct224572023544121
940163675438460
1010221222021201
113290883400914
121190b366a8069
13591b1b086b99
142749d1918cc9
1512ad2656d786
hex94bd04ec851

10221222021201 has 32 divisors (see below), whose sum is σ = 15400195574400. Its totient is φ = 6698344559040.

The previous prime is 10221222021191. The next prime is 10221222021217. The reversal of 10221222021201 is 10212022212201.

It is a happy number.

10221222021201 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 220 + 21 + 201 = 666.

It is not a de Polignac number, because 10221222021201 - 218 = 10221221759057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221222021271) 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, 800610 + ... + 4591668.

It is an arithmetic number, because the mean of its divisors is an integer number (481256111700).

Almost surely, 210221222021201 is an apocalyptic number.

It is an amenable number.

10221222021201 is a deficient number, since it is larger than the sum of its proper divisors (5178973553199).

10221222021201 is a wasteful number, since it uses less digits than its factorization.

10221222021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792766 (or 3792760 counting only the distinct ones).

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

Adding to 10221222021201 its reverse (10212022212201), we get a palindrome (20433244233402).

The spelling of 10221222021201 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, twenty-one thousand, two hundred one".

Divisors: 1 3 9 27 61 183 549 1637 1647 4911 14733 44199 99857 299571 898713 2696139 3791059 11373177 34119531 102358593 231254599 693763797 2081291391 6205963583 6243874173 18617890749 55853672247 167561016741 378563778563 1135691335689 3407074007067 10221222021201