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20212213100321 = 1123713137358691
BaseRepresentation
bin1001001100010000001011…
…10010000010111100100001
32122120021020212211222012002
410212020011302002330201
510122124103023202241
6110553210145213345
74154166324431234
oct446100562027441
978507225758162
1020212213100321
116492a51400280
122325319331255
13b3800795a798
144dc3c238d41b
15250b7562189b
hex126205c82f21

20212213100321 has 32 divisors (see below), whose sum is σ = 23339933485056. Its totient is φ = 17322718336000.

The previous prime is 20212213100273. The next prime is 20212213100423. The reversal of 20212213100321 is 12300131221202.

It is a de Polignac number, because none of the positive numbers 2k-20212213100321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20212213100293 and 20212213100302.

It is not an unprimeable number, because it can be changed into a prime (20212213103321) 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 31 ways as a sum of consecutive naturals, for example, 56170586 + ... + 56529276.

It is an arithmetic number, because the mean of its divisors is an integer number (729372921408).

Almost surely, 220212213100321 is an apocalyptic number.

It is an amenable number.

20212213100321 is a deficient number, since it is larger than the sum of its proper divisors (3127720384735).

20212213100321 is a wasteful number, since it uses less digits than its factorization.

20212213100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361933.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20212213100321 its reverse (12300131221202), we get a palindrome (32512344321523).

The spelling of 20212213100321 in words is "twenty trillion, two hundred twelve billion, two hundred thirteen million, one hundred thousand, three hundred twenty-one".

Divisors: 1 11 23 71 253 781 1633 3137 17963 34507 72151 222727 358691 793661 2449997 3945601 5122721 8249893 25467061 56349931 90748823 280137671 585742403 1125213667 6443166433 12377350337 25879914341 79890170357 284679057751 878791873927 1837473918211 20212213100321