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13213221021 = 32711135327673
BaseRepresentation
bin11000100111001000…
…11100000010011101
31021002212000011201100
430103210130002131
5204030041033041
610023045103313
7645302345160
oct142344340235
937085004640
1013213221021
115670578580
1226890b7b39
1313276079a0
148d4bcdad7
1552501d6b6
hex31391c09d

13213221021 has 96 divisors (see below), whose sum is σ = 26110086912. Its totient is φ = 6216238080.

The previous prime is 13213221011. The next prime is 13213221031. The reversal of 13213221021 is 12012231231.

13213221021 is a `hidden beast` number, since 1 + 321 + 322 + 1 + 0 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (13213221011) and next prime (13213221031).

It is not a de Polignac number, because 13213221021 - 25 = 13213220989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13213220985 and 13213221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213221011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463641 + ... + 491313.

It is an arithmetic number, because the mean of its divisors is an integer number (271980072).

Almost surely, 213213221021 is an apocalyptic number.

13213221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13213221021 is a deficient number, since it is larger than the sum of its proper divisors (12896865891).

13213221021 is a wasteful number, since it uses less digits than its factorization.

13213221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27763 (or 27760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13213221021 its reverse (12012231231), we get a palindrome (25225452252).

The spelling of 13213221021 in words is "thirteen billion, two hundred thirteen million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 53 63 77 91 99 117 143 159 231 273 371 429 477 583 689 693 819 1001 1113 1287 1749 2067 3003 3339 4081 4823 5247 6201 7579 9009 12243 14469 22737 27673 36729 43407 53053 68211 83019 159159 193711 249057 304403 359749 477477 581133 913209 1079247 1466669 1743399 2130821 2518243 2739627 3237741 3957239 4400007 6392463 7554729 10266683 11871717 13200021 16133359 19066697 19177389 22664187 27700673 30800049 35615151 48400077 57200091 83102019 92400147 112933513 133466879 145200231 171600273 209733667 249306057 338800539 400400637 629201001 1016401617 1201201911 1468135669 1887603003 4404407007 13213221021