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10201121226 = 2321693733461
BaseRepresentation
bin10011000000000100…
…01100000111001010
3222022221012122120200
421200002030013022
5131342441334401
64404125233030
7510536046132
oct114002140712
928287178520
1010201121226
1143652a33aa
121b88402776
13c67577c0a
146cab57ac2
153ea889686
hex26008c1ca

10201121226 has 24 divisors (see below), whose sum is σ = 22104394884. Its totient is φ = 3400071360.

The previous prime is 10201121221. The next prime is 10201121233. The reversal of 10201121226 is 62212110201.

It can be written as a sum of positive squares in 2 ways, for example, as 10139483025 + 61638201 = 100695^2 + 7851^2 .

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 = 10201121199 and 10201121208.

It is not an unprimeable number, because it can be changed into a prime (10201121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288136 + ... + 321596.

Almost surely, 210201121226 is an apocalyptic number.

10201121226 is an abundant number, since it is smaller than the sum of its proper divisors (11903273658).

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

10201121226 is a wasteful number, since it uses less digits than its factorization.

10201121226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50406 (or 50403 counting only the distinct ones).

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

Adding to 10201121226 its reverse (62212110201), we get a palindrome (72413231427).

The spelling of 10201121226 in words is "ten billion, two hundred one million, one hundred twenty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 16937 33461 33874 50811 66922 100383 101622 152433 200766 301149 304866 602298 566728957 1133457914 1700186871 3400373742 5100560613 10201121226