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1010334014131 = 13531509197169
BaseRepresentation
bin11101011001111001001…
…10011001101010110011
310120120211220200201212011
432230330212121222303
5113023131001423011
62052050244143351
7132665006265061
oct16547446315263
93516756621764
101010334014131
1135a531236742
12143986997b57
1374374232bc0
1436c86ab5031
151b433b01621
hexeb3c999ab3

1010334014131 has 16 divisors (see below), whose sum is σ = 1108666167840. Its totient is φ = 914949434880.

The previous prime is 1010334014089. The next prime is 1010334014167. The reversal of 1010334014131 is 1314104330101.

It is not a de Polignac number, because 1010334014131 - 27 = 1010334014003 is a prime.

It is a super-2 number, since 2×10103340141312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010334014831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10349115 + ... + 10446283.

It is an arithmetic number, because the mean of its divisors is an integer number (69291635490).

Almost surely, 21010334014131 is an apocalyptic number.

1010334014131 is a deficient number, since it is larger than the sum of its proper divisors (98332153709).

1010334014131 is a wasteful number, since it uses less digits than its factorization.

1010334014131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112326.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1010334014131 its reverse (1314104330101), we get a palindrome (2324438344232).

The spelling of 1010334014131 in words is "one trillion, ten billion, three hundred thirty-four million, fourteen thousand, one hundred thirty-one".

Divisors: 1 13 53 689 15091 97169 196183 799823 1263197 5149957 10397699 66949441 1466377379 19062905927 77718001087 1010334014131