Search a number
-
+
2202022021221 = 321124369168053
BaseRepresentation
bin100000000010110010101…
…111011000100001100101
321210111210200220212010100
4200002302233120201211
5242034220114134341
64403332302014313
7315043105231461
oct40026257304145
97714720825110
102202022021221
1177996602a500
122b6924877399
1312c85a76acb9
147881531d4a1
153c42dc143b6
hex200b2bd8865

2202022021221 has 72 divisors (see below), whose sum is σ = 3582675063968. Its totient is φ = 1301616993600.

The previous prime is 2202022021189. The next prime is 2202022021229. The reversal of 2202022021221 is 1221202202022.

2202022021221 is a `hidden beast` number, since 2 + 202 + 0 + 220 + 21 + 221 = 666.

It is not a de Polignac number, because 2202022021221 - 25 = 2202022021189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2202022021194 and 2202022021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202022021229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32323431 + ... + 32391483.

Almost surely, 22202022021221 is an apocalyptic number.

It is an amenable number.

2202022021221 is a deficient number, since it is larger than the sum of its proper divisors (1380653042747).

2202022021221 is a wasteful number, since it uses less digits than its factorization.

2202022021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68815 (or 68801 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2202022021221 its reverse (1221202202022), we get a palindrome (3423224223243).

The spelling of 2202022021221 in words is "two trillion, two hundred two billion, twenty-two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 43 99 121 129 363 387 473 691 1089 1419 2073 4257 5203 6219 7601 15609 22803 29713 46827 68053 68409 83611 89139 204159 250833 267417 326843 612477 748583 752499 980529 2245749 2926279 2941587 3595273 6737247 8234413 8778837 10785819 24703239 26336511 32189069 32357457 47024623 74109717 96567207 141073869 289701621 354079759 423221607 517270853 1062239277 1551812559 2022058789 3186717831 4655437677 5689979383 6066176367 17069938149 18198529101 22242646679 51209814447 66727940037 200183820111 244669113469 734007340407 2202022021221