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10122231113 = 149412916453
BaseRepresentation
bin10010110110101010…
…01111110101001001
3222010102202121200122
421123111033311021
5131212242343423
64352230313025
7505560354611
oct113325176511
928112677618
1010122231113
114324810065
121b65ab8775
13c54115a87
146c049da41
153e39a48c8
hex25b54fd49

10122231113 has 8 divisors (see below), whose sum is σ = 10193253000. Its totient is φ = 10051250688.

The previous prime is 10122231109. The next prime is 10122231127. The reversal of 10122231113 is 31113222101.

It can be written as a sum of positive squares in 4 ways, for example, as 1940666809 + 8181564304 = 44053^2 + 90452^2 .

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 10122231113 - 22 = 10122231109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122231091 and 10122231100.

It is not an unprimeable number, because it can be changed into a prime (10122231143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606995 + ... + 623447.

It is an arithmetic number, because the mean of its divisors is an integer number (1274156625).

Almost surely, 210122231113 is an apocalyptic number.

It is an amenable number.

10122231113 is a deficient number, since it is larger than the sum of its proper divisors (71021887).

10122231113 is a wasteful number, since it uses less digits than its factorization.

10122231113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20731.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10122231113 its reverse (31113222101), we get a palindrome (41235453214).

The spelling of 10122231113 in words is "ten billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 149 4129 16453 615221 2451497 67934437 10122231113