Search a number
-
+
10434000101 = 75232850041
BaseRepresentation
bin10011011011110101…
…00011010011100101
3222221011102010100012
421231322203103211
5132332101000401
64443204500005
7516364352240
oct115572432345
928834363305
1010434000101
1144747a2788
1220323aa605
13ca38a4675
1470da58257
1541103a8bb
hex26dea34e5

10434000101 has 8 divisors (see below), whose sum is σ = 11947376064. Its totient is φ = 8926325280.

The previous prime is 10434000091. The next prime is 10434000139. The reversal of 10434000101 is 10100043401.

It is a happy number.

10434000101 is digitally balanced in base 3, 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10434000101 is a prime.

It is a super-3 number, since 3×104340001013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434000191) 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, 1421360 + ... + 1428681.

It is an arithmetic number, because the mean of its divisors is an integer number (1493422008).

Almost surely, 210434000101 is an apocalyptic number.

It is an amenable number.

10434000101 is a deficient number, since it is larger than the sum of its proper divisors (1513375963).

10434000101 is an equidigital number, since it uses as much as digits as its factorization.

10434000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850571.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10434000101 its reverse (10100043401), we get a palindrome (20534043502).

The spelling of 10434000101 in words is "ten billion, four hundred thirty-four million, one hundred one", and thus it is an aban number.

Divisors: 1 7 523 3661 2850041 19950287 1490571443 10434000101