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10121321013 = 35363656107
BaseRepresentation
bin10010110110100011…
…10001101000110101
3222010101001101021020
421123101301220311
5131212024233023
64352155011353
7505546544346
oct113321615065
928111041236
1010121321013
114324249311
121b65739b59
13c53b8775b
146c03040cd
153e3874de3
hex25b471a35

10121321013 has 8 divisors (see below), whose sum is σ = 13749719328. Its totient is φ = 6620235024.

The previous prime is 10121321003. The next prime is 10121321017. The reversal of 10121321013 is 31012312101.

It is a happy number.

10121321013 is digitally balanced in base 2, because in such base 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 not a de Polignac number, because 10121321013 - 26 = 10121320949 is a prime.

It is a super-2 number, since 2×101213210132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121320983 and 10121321001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121321017) 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, 31827895 + ... + 31828212.

It is an arithmetic number, because the mean of its divisors is an integer number (1718714916).

Almost surely, 210121321013 is an apocalyptic number.

It is an amenable number.

10121321013 is a deficient number, since it is larger than the sum of its proper divisors (3628398315).

10121321013 is an equidigital number, since it uses as much as digits as its factorization.

10121321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63656163.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10121321013 its reverse (31012312101), we get a palindrome (41133633114).

The spelling of 10121321013 in words is "ten billion, one hundred twenty-one million, three hundred twenty-one thousand, thirteen".

Divisors: 1 3 53 159 63656107 190968321 3373773671 10121321013