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21303341212140 = 223251322074125053
BaseRepresentation
bin1001101100000000100100…
…00101011110000111101100
32210102120122110220010021200
410312000102011132013230
510243013220322242030
6113150341515325500
74326054440362461
oct466002205360754
983376573803250
1021303341212140
116873772812379
122480891a50890
13bb6b8668c980
1453913146d668
1526e23729ed60
hex13601215e1ec

21303341212140 has 144 divisors (see below), whose sum is σ = 69622463409408. Its totient is φ = 5241522074112.

The previous prime is 21303341212079. The next prime is 21303341212151. The reversal of 21303341212140 is 4121214330312.

21303341212140 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 33 + 412 + 1 + 214 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3101854 + ... + 7226906.

It is an arithmetic number, because the mean of its divisors is an integer number (483489329232).

Almost surely, 221303341212140 is an apocalyptic number.

21303341212140 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 21303341212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34811231704704).

21303341212140 is an abundant number, since it is smaller than the sum of its proper divisors (48319122197268).

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

21303341212140 is a wasteful number, since it uses less digits than its factorization.

21303341212140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127288 (or 4127283 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21303341212140 its reverse (4121214330312), we get a palindrome (25424555542452).

The spelling of 21303341212140 in words is "twenty-one trillion, three hundred three billion, three hundred forty-one million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2207 2340 4414 6621 8828 11035 13242 19863 22070 26484 28691 33105 39726 44140 57382 66210 79452 86073 99315 114764 132420 143455 172146 198630 258219 286910 344292 397260 430365 516438 573820 860730 1032876 1291095 1721460 2582190 4125053 5164380 8250106 12375159 16500212 20625265 24750318 37125477 41250530 49500636 53625689 61875795 74250954 82501060 107251378 123751590 148501908 160877067 185627385 214502756 247503180 268128445 321754134 371254770 482631201 536256890 643508268 742509540 804385335 965262402 1072513780 1608770670 1930524804 2413156005 3217541340 4826312010 9103991971 9652624020 18207983942 27311975913 36415967884 45519959855 54623951826 81935927739 91039919710 109247903652 118351895623 136559879565 163871855478 182079839420 236703791246 273119759130 327743710956 355055686869 409679638695 473407582492 546239518260 591759478115 710111373738 819359277390 1065167060607 1183518956230 1420222747476 1638718554780 1775278434345 2130334121214 2367037912460 3550556868690 4260668242428 5325835303035 7101113737380 10651670606070 21303341212140