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21323752340 = 225117110931249
BaseRepresentation
bin10011110110111111…
…101010001110010100
32001001002101212002012
4103312333222032110
5322132340033330
613443534003352
71353264622112
oct236677521624
961032355065
1021323752340
11905277a820
124171346558
13201aa0ac47
14106402aab2
1584c09dc95
hex4f6fea394

21323752340 has 96 divisors (see below), whose sum is σ = 49623840000. Its totient is φ = 7631769600.

The previous prime is 21323752337. The next prime is 21323752397. The reversal of 21323752340 is 4325732312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21323752297 and 21323752306.

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, 17072036 + ... + 17073284.

It is an arithmetic number, because the mean of its divisors is an integer number (516915000).

Almost surely, 221323752340 is an apocalyptic number.

21323752340 is a gapful number since it is divisible by the number (20) 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 21323752340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24811920000).

21323752340 is an abundant number, since it is smaller than the sum of its proper divisors (28300087660).

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

21323752340 is a wasteful number, since it uses less digits than its factorization.

21323752340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 21323752340 in words is "twenty-one billion, three hundred twenty-three million, seven hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1093 1249 1420 1562 2186 2498 3124 3905 4372 4996 5465 6245 7810 10930 12023 12490 13739 15620 21860 24046 24980 27478 48092 54956 60115 68695 77603 88679 120230 137390 155206 177358 240460 274780 310412 354716 388015 443395 776030 853633 886790 975469 1365157 1552060 1707266 1773580 1950938 2730314 3414532 3901876 4268165 4877345 5460628 6825785 8536330 9754690 13651570 15016727 17072660 19509380 27303140 30033454 60066908 75083635 96926147 150167270 193852294 300334540 387704588 484630735 969261470 1066187617 1938522940 2132375234 4264750468 5330938085 10661876170 21323752340