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10122272126 = 2417313712343
BaseRepresentation
bin10010110110101010…
…11001110101111110
3222010102211200221122
421123111121311332
5131212300202001
64352231230542
7505560615311
oct113325316576
928112750848
1010122272126
11432483895a
121b65b18452
13c5412b645
146c04b0978
153e39b1b1b
hex25b559d7e

10122272126 has 32 divisors (see below), whose sum is σ = 15883172928. Its totient is φ = 4834114560.

The previous prime is 10122272119. The next prime is 10122272129. The reversal of 10122272126 is 62127222101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10122272095 and 10122272104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122272129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813911 + ... + 826253.

It is an arithmetic number, because the mean of its divisors is an integer number (496349154).

Almost surely, 210122272126 is an apocalyptic number.

10122272126 is a deficient number, since it is larger than the sum of its proper divisors (5760900802).

10122272126 is a wasteful number, since it uses less digits than its factorization.

10122272126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 10122272126 its reverse (62127222101), we get a palindrome (72249494227).

The spelling of 10122272126 in words is "ten billion, one hundred twenty-two million, two hundred seventy-two thousand, one hundred twenty-six".

Divisors: 1 2 41 73 82 137 146 274 2993 5617 5986 10001 11234 12343 20002 24686 410041 506063 820082 901039 1012126 1690991 1802078 3381982 36942599 69330631 73885198 123442343 138661262 246884686 5061136063 10122272126