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10122300013 = 75924509201
BaseRepresentation
bin10010110110101011…
…00000101001101101
3222010102220010012111
421123111200221231
5131212302100023
64352232004021
7505561062520
oct113325405155
928112803174
1010122300013
114324857901
121b65b30611
13c5413b247
146c04babb7
153e39ba00d
hex25b560a6d

10122300013 has 8 divisors (see below), whose sum is σ = 11764416960. Its totient is φ = 8529201600.

The previous prime is 10122300011. The next prime is 10122300043. The reversal of 10122300013 is 31000322101.

10122300013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122300013 - 21 = 10122300011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122299966 and 10122300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122300011) 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 7 ways as a sum of consecutive naturals, for example, 12254188 + ... + 12255013.

It is an arithmetic number, because the mean of its divisors is an integer number (1470552120).

Almost surely, 210122300013 is an apocalyptic number.

It is an amenable number.

10122300013 is a deficient number, since it is larger than the sum of its proper divisors (1642116947).

10122300013 is an equidigital number, since it uses as much as digits as its factorization.

10122300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24509267.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10122300013 its reverse (31000322101), we get a palindrome (41122622114).

The spelling of 10122300013 in words is "ten billion, one hundred twenty-two million, three hundred thousand, thirteen".

Divisors: 1 7 59 413 24509201 171564407 1446042859 10122300013