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10535003113432 = 23717229105145979
BaseRepresentation
bin1001100101001101111100…
…0111100100011111011000
31101022010200110222100211111
42121103133013210133120
52340101141244112212
634223414050310104
72135062124645230
oct231233707443730
941263613870744
1010535003113432
1133a1962679736
121221907288334
135b55a604a125
14285c7b02ccc0
1513408da1dea7
hex994df1e47d8

10535003113432 has 128 divisors (see below), whose sum is σ = 24030692928000. Its totient is φ = 4226739148800.

The previous prime is 10535003113403. The next prime is 10535003113451. The reversal of 10535003113432 is 23431130053501.

It is a happy number.

It is a super-2 number, since 2×105350031134322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10535003113394 and 10535003113403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229103419 + ... + 229149397.

It is an arithmetic number, because the mean of its divisors is an integer number (187739788500).

Almost surely, 210535003113432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10535003113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015346464000).

10535003113432 is an abundant number, since it is smaller than the sum of its proper divisors (13495689814568).

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

10535003113432 is a wasteful number, since it uses less digits than its factorization.

10535003113432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47289 (or 47285 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 10535003113432 its reverse (23431130053501), we get a palindrome (33966133166933).

The spelling of 10535003113432 in words is "ten trillion, five hundred thirty-five billion, three million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 229 238 458 476 916 952 1051 1603 1832 2102 3206 3893 4204 6412 7357 7786 8408 12824 14714 15572 17867 27251 29428 31144 35734 45979 54502 58856 71468 91958 109004 125069 142936 183916 218008 240679 250138 321853 367832 481358 500276 643706 781643 962716 1000552 1287412 1563286 1684753 1925432 2574824 3126572 3369506 4091543 5471501 6253144 6739012 8183086 10529191 10943002 13478024 16366172 21058382 21886004 28640801 32732344 42116764 43772008 48323929 57281602 73704337 84233528 96647858 114563204 147408674 178996247 193295716 229126408 294817348 338267503 357992494 386591432 589634696 676535006 715984988 821506793 1252973729 1353070012 1431969976 1643013586 2505947458 2706140024 3286027172 5011894916 5750547551 6572054344 10023789832 11066179741 11501095102 22132359482 23002190204 44264718964 46004380408 77463258187 88529437928 154926516374 188125055597 309853032748 376250111194 619706065496 752500222388 1316875389179 1505000444776 2633750778358 5267501556716 10535003113432