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1020422404134 = 2327171669285433
BaseRepresentation
bin11101101100101011110…
…10100011100000100110
310121112212222210001021100
432312111322203200212
5113204311113413014
62100435305300530
7133503006215610
oct16662572434046
93545788701240
101020422404134
11363838932441
12145921494746
13752c132a543
1437562885db0
151b82461e009
hexed95ea3826

1020422404134 has 96 divisors (see below), whose sum is σ = 2677005564480. Its totient is φ = 274233931776.

The previous prime is 1020422404129. The next prime is 1020422404171. The reversal of 1020422404134 is 4314042240201.

1020422404134 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 2 + 240 + 413 + 4 = 666.

It is a super-2 number, since 2×10204224041342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020422404098 and 1020422404107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3432282 + ... + 3717714.

It is an arithmetic number, because the mean of its divisors is an integer number (27885474630).

Almost surely, 21020422404134 is an apocalyptic number.

1020422404134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020422404134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338502782240).

1020422404134 is an abundant number, since it is smaller than the sum of its proper divisors (1656583160346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020422404134 is a wasteful number, since it uses less digits than its factorization.

1020422404134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287134 (or 287131 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1020422404134 its reverse (4314042240201), we get a palindrome (5334464644335).

The spelling of 1020422404134 in words is "one trillion, twenty billion, four hundred twenty-two million, four hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 1669 2142 3338 5007 10014 11683 15021 23366 28373 30042 35049 56746 70098 85119 105147 170238 198611 210294 255357 285433 397222 510714 570866 595833 856299 1191666 1712598 1787499 1998031 2568897 3574998 3996062 4852361 5137794 5994093 9704722 11988186 14557083 17982279 29114166 33966527 35964558 43671249 67933054 87342498 101899581 203799162 305698743 476387677 611397486 952775354 1429163031 2858326062 3334713739 4287489093 6669427478 8098590509 8574978186 10004141217 16197181018 20008282434 24295771527 30012423651 48591543054 56690133563 60024847302 72887314581 113380267126 145774629162 170070400689 340140801378 510211202067 1020422404134