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10222120414 = 2112232636983
BaseRepresentation
bin10011000010100100…
…10010110111011110
3222101101201112001101
421201102102313132
5131413330323124
64410155303314
7511212406222
oct114122226736
928341645041
1010222120414
114376136400
121b9344ab3a
13c6ba1b07c
146cd862782
153ec636644
hex261492dde

10222120414 has 48 divisors (see below), whose sum is σ = 17655998976. Its totient is φ = 4426867280.

The previous prime is 10222120397. The next prime is 10222120423. The reversal of 10222120414 is 41402122201.

10222120414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10222120391 and 10222120400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1460367 + ... + 1467349.

It is an arithmetic number, because the mean of its divisors is an integer number (367833312).

Almost surely, 210222120414 is an apocalyptic number.

10222120414 is a deficient number, since it is larger than the sum of its proper divisors (7433878562).

10222120414 is a wasteful number, since it uses less digits than its factorization.

10222120414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10222120414 its reverse (41402122201), we get a palindrome (51624242615).

The spelling of 10222120414 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 11 22 23 46 121 242 253 263 506 526 2783 2893 5566 5786 6049 6983 12098 13966 31823 63646 66539 76813 133078 153626 160609 321218 731929 844943 1463858 1689886 1766699 1836529 3533398 3673058 19433689 20201819 38867378 40403638 42240167 84480334 222220009 444440018 464641837 929283674 5111060207 10222120414