Search a number
-
+
202221000022101 = 319113311100951451
BaseRepresentation
bin101101111110101100111110…
…110111110101100001010101
3222112000010202012000020201020
4231332230332313311201111
5203001142102001201401
61554031013411551353
760410661616106034
oct5576547667654125
9875003665006636
10202221000022101
11594854986927a5
121a81b94b8bb559
1388ab4877642a8
1437d17975d271b
15185a373e44d36
hexb7eb3edf5855

202221000022101 has 32 divisors (see below), whose sum is σ = 287251299578880. Its totient is φ = 126181236384000.

The previous prime is 202221000021941. The next prime is 202221000022121. The reversal of 202221000022101 is 101220000122202.

It is a de Polignac number, because none of the positive numbers 2k-202221000022101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221000022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48472575 + ... + 52478876.

It is an arithmetic number, because the mean of its divisors is an integer number (8976603111840).

Almost surely, 2202221000022101 is an apocalyptic number.

It is an amenable number.

202221000022101 is a deficient number, since it is larger than the sum of its proper divisors (85030299556779).

202221000022101 is a wasteful number, since it uses less digits than its factorization.

202221000022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100951897.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202221000022101 its reverse (101220000122202), we get a palindrome (303441000144303).

The spelling of 202221000022101 in words is "two hundred two trillion, two hundred twenty-one billion, twenty-two thousand, one hundred one".

Divisors: 1 3 19 57 113 311 339 933 2147 5909 6441 17727 35143 105429 667717 2003151 100951451 302854353 1918077569 5754232707 11407513963 31395901261 34222541889 94187703783 216742765297 596522123959 650228295891 1789566371877 3547736842493 10643210527479 67407000007367 202221000022101