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10121210042 = 210921572713
BaseRepresentation
bin10010110110100010…
…10110100010111010
3222010100211202001012
421123101112202322
5131212012210132
64352152353522
7505545602666
oct113321264272
928110752035
1010121210042
1143241829a9
121b656a58a2
13c53b490a8
146c02b58a6
153e38520b2
hex25b4568ba

10121210042 has 24 divisors (see below), whose sum is σ = 15425654076. Its totient is φ = 4980403584.

The previous prime is 10121210041. The next prime is 10121210051. The reversal of 10121210042 is 24001212101.

It is a happy number.

10121210042 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 6 ways, for example, as 8901733801 + 1219476241 = 94349^2 + 34921^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10121209999 and 10121210026.

It is not an unprimeable number, because it can be changed into a prime (10121210041) 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, 3729278 + ... + 3731990.

Almost surely, 210121210042 is an apocalyptic number.

10121210042 is a deficient number, since it is larger than the sum of its proper divisors (5304444034).

10121210042 is a wasteful number, since it uses less digits than its factorization.

10121210042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10121210042 its reverse (24001212101), we get a palindrome (34122422143).

The spelling of 10121210042 in words is "ten billion, one hundred twenty-one million, two hundred ten thousand, forty-two".

Divisors: 1 2 109 157 218 314 2713 5426 11881 17113 23762 34226 295717 425941 591434 851882 1865317 3730634 32233153 46427569 64466306 92855138 5060605021 10121210042