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10212120013 = 12498176237
BaseRepresentation
bin10011000001011000…
…01001010111001101
3222100200220110002011
421200230021113031
5131403300320023
64405201101221
7511031405434
oct114054112715
928320813064
1010212120013
114370525a07
121b90027811
13c69929284
146cc3bc11b
153eb80d50d
hex260b095cd

10212120013 has 4 divisors (see below), whose sum is σ = 10220297500. Its totient is φ = 10203942528.

The previous prime is 10212119947. The next prime is 10212120029. The reversal of 10212120013 is 31002121201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4902520324 + 5309599689 = 70018^2 + 72867^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212120013 - 213 = 10212111821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10212119975 and 10212120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212120073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4086870 + ... + 4089367.

It is an arithmetic number, because the mean of its divisors is an integer number (2555074375).

Almost surely, 210212120013 is an apocalyptic number.

It is an amenable number.

10212120013 is a deficient number, since it is larger than the sum of its proper divisors (8177487).

10212120013 is an equidigital number, since it uses as much as digits as its factorization.

10212120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177486.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10212120013 its reverse (31002121201), we get a palindrome (41214241214).

The spelling of 10212120013 in words is "ten billion, two hundred twelve million, one hundred twenty thousand, thirteen".

Divisors: 1 1249 8176237 10212120013