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1010042104131 = 321075009209393
BaseRepresentation
bin11101011001010110011…
…00110110100101000011
310120120002120102011121200
432230223030312211003
5113022031234313011
62052001255352243
7132654533141364
oct16545314664503
93516076364550
101010042104131
1135a3a1488405
12143905082683
13743289084a8
1436c5a009b6b
151b41818e856
hexeb2b336943

1010042104131 has 24 divisors (see below), whose sum is σ = 1472885771760. Its totient is φ = 666931946496.

The previous prime is 1010042104081. The next prime is 1010042104147. The reversal of 1010042104131 is 1314012400101.

1010042104131 is a `hidden beast` number, since 10 + 100 + 421 + 0 + 4 + 131 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1010042104131 is a prime.

It is a super-2 number, since 2×10100421041312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010042102131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4718971 + ... + 4928363.

It is an arithmetic number, because the mean of its divisors is an integer number (61370240490).

Almost surely, 21010042104131 is an apocalyptic number.

1010042104131 is a deficient number, since it is larger than the sum of its proper divisors (462843667629).

1010042104131 is a wasteful number, since it uses less digits than its factorization.

1010042104131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214515 (or 214512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1010042104131 its reverse (1314012400101), we get a palindrome (2324054504232).

The spelling of 1010042104131 in words is "one trillion, ten billion, forty-two million, one hundred four thousand, one hundred thirty-one".

Divisors: 1 3 9 107 321 963 5009 15027 45081 209393 535963 628179 1607889 1884537 4823667 22405051 67215153 201645459 1048849537 3146548611 9439645833 112226900459 336680701377 1010042104131