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2221011001221 = 329891372817451
BaseRepresentation
bin100000010100011110100…
…100100101111110000101
321212022211002000222122220
4200110132210211332011
5242342112304014341
64420152433442553
7316314503006265
oct40243644457605
97768732028586
102221011001221
11786a1a899201
122ba544110459
1313159584a83c
14796d72297a5
153cb90d23a66
hex2051e925f85

2221011001221 has 64 divisors (see below), whose sum is σ = 3132021945600. Its totient is φ = 1398053888000.

The previous prime is 2221011001217. The next prime is 2221011001241. The reversal of 2221011001221 is 1221001101222.

It is a cyclic number.

It is not a de Polignac number, because 2221011001221 - 22 = 2221011001217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2221011001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221011001211) 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 63 ways as a sum of consecutive naturals, for example, 298078546 + ... + 298085996.

It is an arithmetic number, because the mean of its divisors is an integer number (48937842900).

Almost surely, 22221011001221 is an apocalyptic number.

It is an amenable number.

2221011001221 is a deficient number, since it is larger than the sum of its proper divisors (911010944379).

2221011001221 is a wasteful number, since it uses less digits than its factorization.

2221011001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990.

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

Adding to 2221011001221 its reverse (1221001101222), we get a palindrome (3442012102443).

The spelling of 2221011001221 in words is "two trillion, two hundred twenty-one billion, eleven million, one thousand, two hundred twenty-one".

Divisors: 1 3 29 87 89 137 267 281 411 843 2581 3973 7451 7743 8149 11919 12193 22353 24447 25009 36579 38497 75027 115491 216079 353597 648237 663139 725261 1020787 1060791 1116413 1989417 2093731 2175783 3062361 3349239 3426233 6281193 10278699 19231031 29602823 57693093 60718199 88808469 90850043 99360757 182154597 186342059 272550129 286841147 298082271 559026177 860523441 2634651247 5403919711 7903953741 8318393263 16211759133 24955179789 25528862083 76586586249 740337000407 2221011001221