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1020134011131 = 3416777397561
BaseRepresentation
bin11101101100001001011…
…10011011000011111011
310121112010220010011110000
432312010232123003323
5113203213301324011
62100350524124043
7133462605010644
oct16660456330373
93545126104400
101020134011131
11363700066514
12145860996623
13752766648b1
14375364546cb
151b809154356
hexed84b9b0fb

1020134011131 has 40 divisors (see below), whose sum is σ = 1535028020064. Its totient is φ = 675135492480.

The previous prime is 1020134011103. The next prime is 1020134011159. The reversal of 1020134011131 is 1311104310201.

It is a happy number.

1020134011131 is a `hidden beast` number, since 10 + 201 + 340 + 1 + 113 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1020134011103) and next prime (1020134011159).

It is not a de Polignac number, because 1020134011131 - 215 = 1020133978363 is a prime.

It is a super-2 number, since 2×10201340111312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020134011181) 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 39 ways as a sum of consecutive naturals, for example, 10407591 + ... + 10505151.

Almost surely, 21020134011131 is an apocalyptic number.

1020134011131 is a deficient number, since it is larger than the sum of its proper divisors (514894008933).

1020134011131 is an equidigital number, since it uses as much as digits as its factorization.

1020134011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98513 (or 98504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1020134011131 its reverse (1311104310201), we get a palindrome (2331238321332).

The spelling of 1020134011131 in words is "one trillion, twenty billion, one hundred thirty-four million, eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 167 501 773 1503 2319 4509 6957 13527 20871 62613 97561 129091 292683 387273 878049 1161819 2634147 3485457 7902441 10456371 16292687 48878061 75414653 146634183 226243959 439902549 678731877 1319707647 2036195631 6108586893 12594247051 37782741153 113348223459 340044670377 1020134011131