Search a number
-
+
10412104011232 = 2571117881236323
BaseRepresentation
bin1001011110000100000111…
…0000101100110111100000
31100212101110102122002202111
42113201001300230313200
52331042442111324412
634051130552125104
72123151433551640
oct227410160546740
940771412562674
1010412104011232
1133548262a9190
121201b28696794
135a6b1b347891
1427dd3ca66520
15130c992a52a7
hex97841c2cde0

10412104011232 has 96 divisors (see below), whose sum is σ = 25558520004864. Its totient is φ = 4056419865600.

The previous prime is 10412104011229. The next prime is 10412104011259. The reversal of 10412104011232 is 23211040121401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43940623 + ... + 44176945.

It is an arithmetic number, because the mean of its divisors is an integer number (266234583384).

Almost surely, 210412104011232 is an apocalyptic number.

It is an amenable number.

10412104011232 is an abundant number, since it is smaller than the sum of its proper divisors (15146415993632).

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

10412104011232 is a wasteful number, since it uses less digits than its factorization.

10412104011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254232 (or 254224 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10412104011232 its reverse (23211040121401), we get a palindrome (33623144132633).

The spelling of 10412104011232 in words is "ten trillion, four hundred twelve billion, one hundred four million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 17881 35762 71524 125167 143048 196691 236323 250334 286096 393382 472646 500668 572192 786764 945292 1001336 1376837 1573528 1654261 1890584 2002672 2599553 2753674 3147056 3308522 3781168 4005344 5199106 5507348 6294112 6617044 7562336 10398212 11014696 13234088 18196871 20796424 22029392 26468176 36393742 41592848 44058784 52936352 72787484 83185696 145574968 291149936 582299872 4225691563 8451383126 16902766252 29579840941 33805532504 46482607193 59159681882 67611065008 92965214386 118319363764 135222130016 185930428772 236638727528 325378250351 371860857544 473277455056 650756500702 743721715088 946554910112 1301513001404 1487443430176 2603026002808 5206052005616 10412104011232