Search a number
-
+
11041321422012 = 22371272381434689
BaseRepresentation
bin1010000010101100001000…
…0010101000110010111100
31110002112120200012102000220
42200223002002220302330
52421400111241001022
635252151341021340
72216465144365410
oct240530202506274
943075520172026
1011041321422012
113577664106962
1212a3a70254850
136212661a201b
142a258d43cd40
151423241b385c
hexa0ac20a8cbc

11041321422012 has 96 divisors (see below), whose sum is σ = 29687894261760. Its totient is φ = 3128501698560.

The previous prime is 11041321421989. The next prime is 11041321422037. The reversal of 11041321422012 is 21022412314011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25183164 + ... + 25617852.

It is an arithmetic number, because the mean of its divisors is an integer number (309248898560).

Almost surely, 211041321422012 is an apocalyptic number.

11041321422012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11041321422012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843947130880).

11041321422012 is an abundant number, since it is smaller than the sum of its proper divisors (18646572839748).

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

11041321422012 is a wasteful number, since it uses less digits than its factorization.

11041321422012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437211 (or 437209 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11041321422012 its reverse (21022412314011), we get a palindrome (32063733736023).

The spelling of 11041321422012 in words is "eleven trillion, forty-one billion, three hundred twenty-one million, four hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2381 2667 3556 4762 5334 7143 9524 10668 14286 16667 28572 33334 50001 66668 100002 200004 302387 434689 604774 869378 907161 1209548 1304067 1738756 1814322 2116709 2608134 3042823 3628644 4233418 5216268 6085646 6350127 8466836 9128469 12171292 12700254 18256938 25400508 36513876 55205503 110411006 165616509 220822012 331233018 386438521 662466036 772877042 1034994509 1159315563 1545754084 2069989018 2318631126 3104983527 4139978036 4637262252 6209967054 7244961563 12419934108 14489923126 21734884689 28979846252 43469769378 86939538756 131444302643 262888605286 394332907929 525777210572 788665815858 920110118501 1577331631716 1840220237002 2760330355503 3680440474004 5520660711006 11041321422012