Search a number
-
+
1221100021221 = 317213934929033
BaseRepresentation
bin10001110001001111001…
…110111010010111100101
311022201212120010020122220
4101301033032322113211
5130001303101134341
62332544323142553
7154135665631623
oct21611716722745
94281776106586
101221100021221
11430958145363
121787a7b14a59
138b1c2b4cb72
144315c956513
1521b6c2e3a66
hex11c4f3ba5e5

1221100021221 has 48 divisors (see below), whose sum is σ = 1747033848000. Its totient is φ = 758462625792.

The previous prime is 1221100021181. The next prime is 1221100021241. The reversal of 1221100021221 is 1221200011221.

It is not a de Polignac number, because 1221100021221 - 214 = 1221100004837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1221100021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221100021241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42044521 + ... + 42073553.

It is an arithmetic number, because the mean of its divisors is an integer number (36396538500).

Almost surely, 21221100021221 is an apocalyptic number.

It is an amenable number.

1221100021221 is a deficient number, since it is larger than the sum of its proper divisors (525933826779).

1221100021221 is a wasteful number, since it uses less digits than its factorization.

1221100021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29558 (or 29541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1221100021221 its reverse (1221200011221), we get a palindrome (2442300032442).

The spelling of 1221100021221 in words is "one trillion, two hundred twenty-one billion, one hundred million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 17 51 139 289 349 417 867 1047 2363 5933 7089 17799 29033 40171 48511 87099 100861 120513 145533 302583 493561 824687 1480683 2474061 4035587 8390537 10132517 12106761 14019679 25171611 30397551 42059037 68604979 172252789 205814937 516758367 1166284643 1408419863 2928297413 3498853929 4225259589 8784892239 23943137671 71829413013 407033340407 1221100021221