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21343011034312 = 23116143954116741
BaseRepresentation
bin1001101101001010011101…
…00101110101010011001000
32210120101001010122212221201
410312211032211311103020
510244140441311044222
6113220502141313544
74331660465324632
oct466451645652310
983511033585851
1021343011034312
11688957a354980
1224885032658b4
13bba839209526
1453b015c4da52
152702a9cb6427
hex13694e9754c8

21343011034312 has 128 divisors (see below), whose sum is σ = 44557774905600. Its totient is φ = 9502427520000.

The previous prime is 21343011034277. The next prime is 21343011034343.

21343011034312 is nontrivially palindromic in base 10.

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, 1274886262 + ... + 1274903002.

It is an arithmetic number, because the mean of its divisors is an integer number (348107616450).

Almost surely, 221343011034312 is an apocalyptic number.

21343011034312 is a gapful number since it is divisible by the number (22) 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 21343011034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22278887452800).

21343011034312 is an abundant number, since it is smaller than the sum of its proper divisors (23214763871288).

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

21343011034312 is a wasteful number, since it uses less digits than its factorization.

21343011034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17799 (or 17795 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 2134301 and 1034312, that added together give a palindrome (3168613).

The spelling of 21343011034312 in words is "twenty-one trillion, three hundred forty-three billion, eleven million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 439 488 541 671 878 1082 1342 1756 2164 2684 3512 4328 4829 5368 5951 9658 11902 16741 19316 23804 26779 33001 33482 38632 47608 53558 66002 66964 107116 132004 133928 184151 214232 237499 264008 294569 363011 368302 474998 589138 726022 736604 949996 1021201 1178276 1452044 1473208 1899992 2042402 2356552 2612489 2904088 4084804 5224978 7349299 8169608 9056881 10449956 11233211 14487439 14698598 18113762 20899912 22466422 28974878 29397196 36227524 44932844 57949756 58794392 72455048 80842289 89865688 99625691 115899512 159361829 161684578 199251382 318723658 323369156 398502764 448307239 552469741 637447316 646738312 797005528 896614478 1104939482 1274894632 1793228956 2209878964 3586457912 3975970759 4419757928 4931379629 6077167151 7951941518 9862759258 12154334302 15903883036 19725518516 24308668604 31807766072 39451037032 43735678349 48617337208 87471356698 174942713396 242534216299 349885426792 485068432598 970136865196 1940273730392 2667876379289 5335752758578 10671505517156 21343011034312