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11331312332032 = 287111315143711
BaseRepresentation
bin1010010011100100011011…
…0110001010110100000000
31111010021002122020222112201
42210321012312022310000
52441123011424111112
640033311044402544
72246442324426520
oct244710666126400
944107078228481
1011331312332032
11367964544a770
1213301016a6454
136426cc47cb84
142b261d133680
15149b47cbb257
hexa4e46d8ad00

11331312332032 has 144 divisors (see below), whose sum is σ = 28202305388544. Its totient is φ = 4414360320000.

The previous prime is 11331312332027. The next prime is 11331312332047. The reversal of 11331312332032 is 23023321313311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259210657 + ... + 259254367.

It is an arithmetic number, because the mean of its divisors is an integer number (195849342976).

Almost surely, 211331312332032 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 11331312332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101152694272).

11331312332032 is an abundant number, since it is smaller than the sum of its proper divisors (16870993056512).

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

11331312332032 is a wasteful number, since it uses less digits than its factorization.

11331312332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56896 (or 56882 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 11331312332032 its reverse (23023321313311), we get a palindrome (34354633645343).

The spelling of 11331312332032 in words is "eleven trillion, three hundred thirty-one billion, three hundred twelve million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 13151 19712 26302 43711 52604 87422 92057 105208 144661 174844 184114 210416 289322 305977 349688 368228 420832 480821 578644 611954 699376 736456 841664 961642 1012627 1157288 1223908 1398752 1472912 1683328 1923284 2025254 2314576 2447816 2797504 2945824 3365747 3366656 3846568 4050508 4629152 4895632 5595008 5891648 6731494 7693136 8101016 9258304 9791264 11190016 11783296 13462988 15386272 16202032 18516608 19582528 23566592 26925976 30772544 32404064 37033216 39165056 53851952 61545088 64808128 78330112 107703904 123090176 129616256 215407808 259232512 430815616 574843361 861631232 1149686722 2299373444 4023903527 4598746888 6323276971 8047807054 9197493776 12646553942 16095614108 18394987552 25293107884 32191228216 36789975104 44262938797 50586215768 64382456432 73579950208 88525877594 101172431536 128764912864 147159900416 177051755188 202344863072 257529825728 354103510376 404689726144 515059651456 708207020752 809379452288 1030119302912 1416414041504 1618758904576 2832828083008 5665656166016 11331312332032