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1053104020434 = 2325310343924413
BaseRepresentation
bin11110101001100011110…
…01000001101111010010
310201200020122000011122200
433110301321001233102
5114223224112123214
62123442253544030
7136040620323024
oct17246171015722
93650218004580
101053104020434
11376689846494
121501224a5016
13783cc14053b
1438d830da014
151c5d889ad09
hexf531e41bd2

1053104020434 has 96 divisors (see below), whose sum is σ = 2352790851840. Its totient is φ = 340276719744.

The previous prime is 1053104020421. The next prime is 1053104020499. The reversal of 1053104020434 is 4340204013501.

It is a happy number.

1053104020434 is a `hidden beast` number, since 105 + 3 + 104 + 0 + 20 + 434 = 666.

It is a super-2 number, since 2×10531040204342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053104020398 and 1053104020407.

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, 43124812 + ... + 43149224.

It is an arithmetic number, because the mean of its divisors is an integer number (24508238040).

Almost surely, 21053104020434 is an apocalyptic number.

1053104020434 is an abundant number, since it is smaller than the sum of its proper divisors (1299686831406).

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

1053104020434 is a wasteful number, since it uses less digits than its factorization.

1053104020434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25016 (or 25013 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1053104020434 its reverse (4340204013501), we get a palindrome (5393308033935).

The spelling of 1053104020434 in words is "one trillion, fifty-three billion, one hundred four million, twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 53 103 106 159 206 309 318 439 477 618 878 927 954 1317 1854 2634 3951 5459 7902 10918 16377 23267 24413 32754 45217 46534 48826 49131 69801 73239 90434 98262 135651 139602 146478 209403 219717 271302 406953 418806 439434 813906 1293889 2396501 2514539 2587778 3881667 4793002 5029078 7189503 7543617 7763334 10717307 11645001 14379006 15087234 21434614 21568509 22630851 23290002 32151921 43137018 45261702 64303842 96455763 133270567 192911526 266541134 399811701 568017271 799623402 1103882621 1136034542 1199435103 1704051813 2207765242 2398870206 3311647863 3408103626 5112155439 6623295726 9934943589 10224310878 19869887178 58505778913 117011557826 175517336739 351034673478 526552010217 1053104020434