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10114413101 = 132573027361
BaseRepresentation
bin10010110101101110…
…11011001000101101
3222002220001102101122
421122313123020231
5131203242204401
64351350550325
7505434043562
oct113267331055
928086042348
1010114413101
1143203602a1
121b633683a5
13c52609430
146bd426869
153e2e5d21b
hex25addb22d

10114413101 has 8 divisors (see below), whose sum is σ = 10934831544. Its totient is φ = 9300049920.

The previous prime is 10114413091. The next prime is 10114413103. The reversal of 10114413101 is 10131441101.

It can be written as a sum of positive squares in 4 ways, for example, as 535876201 + 9578536900 = 23149^2 + 97870^2 .

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 10114413101 - 26 = 10114413037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10114413101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114413103) 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, 1510340 + ... + 1517021.

It is an arithmetic number, because the mean of its divisors is an integer number (1366853943).

Almost surely, 210114413101 is an apocalyptic number.

It is an amenable number.

10114413101 is a deficient number, since it is larger than the sum of its proper divisors (820418443).

10114413101 is a wasteful number, since it uses less digits than its factorization.

10114413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027631.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10114413101 its reverse (10131441101), we get a palindrome (20245854202).

The spelling of 10114413101 in words is "ten billion, one hundred fourteen million, four hundred thirteen thousand, one hundred one".

Divisors: 1 13 257 3341 3027361 39355693 778031777 10114413101