Search a number
-
+
10336434031 = 7111011329103
BaseRepresentation
bin10011010000001100…
…10111011101101111
3222200100211020212001
421220012113131233
5132132111342111
64425401353131
7514101145120
oct115006273557
928610736761
1010336434031
114424713970
1220057987a7
13c89603971
14700adc047
154076b71c1
hex26819776f

10336434031 has 16 divisors (see below), whose sum is σ = 13014586368. Its totient is φ = 7974612000.

The previous prime is 10336434013. The next prime is 10336434037. The reversal of 10336434031 is 13043463301.

It is a cyclic number.

It is not a de Polignac number, because 10336434031 - 211 = 10336431983 is a prime.

It is a super-2 number, since 2×103364340312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10336434037) 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 15 ways as a sum of consecutive naturals, for example, 656775 + ... + 672328.

It is an arithmetic number, because the mean of its divisors is an integer number (813411648).

Almost surely, 210336434031 is an apocalyptic number.

10336434031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10336434031 is a deficient number, since it is larger than the sum of its proper divisors (2678152337).

10336434031 is a wasteful number, since it uses less digits than its factorization.

10336434031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329222.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 10336434031 its reverse (13043463301), we get a palindrome (23379897332).

The spelling of 10336434031 in words is "ten billion, three hundred thirty-six million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 7 11 77 101 707 1111 7777 1329103 9303721 14620133 102340931 134239403 939675821 1476633433 10336434031