Search a number
-
+
210120100211021 = 7311137335844313
BaseRepresentation
bin101111110001101001100101…
…111011101110100101001101
31000112222021201001121011120112
4233301221211323232211031
5210020101431123223041
62022515501430525405
762154450650636000
oct5761514573564515
91015867631534515
10210120100211021
1160a50485827510
121b696824506865
1390323182ba310
1439c5c1d503537
151945a8cb7edeb
hexbf1a65eee94d

210120100211021 has 64 divisors (see below), whose sum is σ = 288269619187200. Its totient is φ = 150929123627520.

The previous prime is 210120100211017. The next prime is 210120100211027. The reversal of 210120100211021 is 120112001021012.

It is not a de Polignac number, because 210120100211021 - 22 = 210120100211017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210120100210987 and 210120100211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120100211027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33030761 + ... + 38875073.

It is an arithmetic number, because the mean of its divisors is an integer number (4504212799800).

Almost surely, 2210120100211021 is an apocalyptic number.

It is an amenable number.

210120100211021 is a deficient number, since it is larger than the sum of its proper divisors (78149518976179).

210120100211021 is a wasteful number, since it uses less digits than its factorization.

210120100211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845091 (or 5845077 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210120100211021 its reverse (120112001021012), we get a palindrome (330232101232033).

The spelling of 210120100211021 in words is "two hundred ten trillion, one hundred twenty billion, one hundred million, two hundred eleven thousand, twenty-one".

Divisors: 1 7 11 13 49 77 91 143 343 539 637 733 1001 3773 4459 5131 7007 8063 9529 35917 49049 56441 66703 104819 251419 395087 466921 733733 2765609 3268447 5136131 5844313 35952917 40910191 64287443 75976069 286371337 450012101 531832483 835736759 2004599359 3150084707 3722827381 4283881429 5850157313 22050592949 26059791667 29987170003 40951101191 47122695719 55690458577 209910190021 286657708337 329858870033 389833210039 612595044347 1469371330147 2309012090231 2728832470273 4288165310429 16163084631617 19101827291911 30017157173003 210120100211021