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1004111143131 = 35415333116009
BaseRepresentation
bin11101001110010011011…
…00000010000011011011
310112222210020021010122110
432213021230002003123
5112422404423040011
62045140550323403
7132354544615035
oct16471154020333
93488706233573
101004111143131
11357928621648
1214272a959563
13738c1c32a05
143685644cc55
151b1bc642ba6
hexe9c9b020db

1004111143131 has 16 divisors (see below), whose sum is σ = 1341552633120. Its totient is φ = 668039028480.

The previous prime is 1004111143117. The next prime is 1004111143141. The reversal of 1004111143131 is 1313411114001.

It is not a de Polignac number, because 1004111143131 - 25 = 1004111143099 is a prime.

It is a super-2 number, since 2×10041111431312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004111143098 and 1004111143107.

It is not an unprimeable number, because it can be changed into a prime (1004111143141) 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, 8597455 + ... + 8713463.

It is an arithmetic number, because the mean of its divisors is an integer number (83847039570).

Almost surely, 21004111143131 is an apocalyptic number.

1004111143131 is a deficient number, since it is larger than the sum of its proper divisors (337441489989).

1004111143131 is a wasteful number, since it uses less digits than its factorization.

1004111143131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121886.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 1004111143131 its reverse (1313411114001), we get a palindrome (2317522257132).

The spelling of 1004111143131 in words is "one trillion, four billion, one hundred eleven million, one hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 541 1623 5333 15999 116009 348027 2885153 8655459 62760869 188282607 618675997 1856027991 334703714377 1004111143131