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10434414131 = 101274137691
BaseRepresentation
bin10011011011111000…
…01000011000110011
3222221012012011021122
421231330020120303
5132332202223011
64443221412455
7516401025311
oct115574103063
928835164248
1010434414131
114474a55859
12203256a12b
13ca39bac5b
1470db250b1
154110bd3db
hex26df08633

10434414131 has 8 divisors (see below), whose sum is σ = 10541849328. Its totient is φ = 10327060000.

The previous prime is 10434414119. The next prime is 10434414149. The reversal of 10434414131 is 13141443401.

It is a happy number.

10434414131 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 a cyclic number.

It is not a de Polignac number, because 10434414131 - 222 = 10430219827 is a prime.

It is a super-2 number, since 2×104344141312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10434414131.

It is not an unprimeable number, because it can be changed into a prime (10434414101) 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, 257996 + ... + 295686.

It is an arithmetic number, because the mean of its divisors is an integer number (1317731166).

Almost surely, 210434414131 is an apocalyptic number.

10434414131 is a deficient number, since it is larger than the sum of its proper divisors (107435197).

10434414131 is a wasteful number, since it uses less digits than its factorization.

10434414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40533.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10434414131 its reverse (13141443401), we get a palindrome (23575857532).

The spelling of 10434414131 in words is "ten billion, four hundred thirty-four million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 101 2741 37691 276841 3806791 103311031 10434414131