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10120121226 = 2321374103861
BaseRepresentation
bin10010110110011010…
…01100101110001010
3222010021210102110200
421123031030232022
5131211222334401
64352113153030
7505533416415
oct113315145612
928107712420
1010120121226
1143235a9956
121b6525b776
13c53857617
146c00b0b7c
153e36d9686
hex25b34cb8a

10120121226 has 24 divisors (see below), whose sum is σ = 22086985284. Its totient is φ = 3348749760.

The previous prime is 10120121189. The next prime is 10120121227. The reversal of 10120121226 is 62212102101.

10120121226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9939890601 + 180230625 = 99699^2 + 13425^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10120121199 and 10120121208.

It is not an unprimeable number, because it can be changed into a prime (10120121227) 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 11 ways as a sum of consecutive naturals, for example, 2049465 + ... + 2054396.

Almost surely, 210120121226 is an apocalyptic number.

10120121226 is an abundant number, since it is smaller than the sum of its proper divisors (11966864058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10120121226 is a wasteful number, since it uses less digits than its factorization.

10120121226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104006 (or 4104003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10120121226 its reverse (62212102101), we get a palindrome (72332223327).

The spelling of 10120121226 in words is "ten billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 4103861 8207722 12311583 24623166 36934749 73869498 562228957 1124457914 1686686871 3373373742 5060060613 10120121226