Search a number
-
+
21322331011320 = 233510312831344589
BaseRepresentation
bin1001101100100011111011…
…11101110011100011111000
32210111101122220112212112020
410312101331331303203320
510243321113214330240
6113203202120514440
74330326145121463
oct466217575634370
983441586485466
1021322331011320
116880827a90589
1224844b161ba20
13bb88c1998331
1453a0135102da
1526e9994c20d0
hex13647df738f8

21322331011320 has 128 divisors (see below), whose sum is σ = 64638421286400. Its totient is φ = 5626358567424.

The previous prime is 21322331011187. The next prime is 21322331011321. The reversal of 21322331011320 is 2311013322312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322331011321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15185586 + ... + 16530174.

It is an arithmetic number, because the mean of its divisors is an integer number (504987666300).

Almost surely, 221322331011320 is an apocalyptic number.

21322331011320 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 21322331011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32319210643200).

21322331011320 is an abundant number, since it is smaller than the sum of its proper divisors (43316090275080).

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

21322331011320 is a wasteful number, since it uses less digits than its factorization.

21322331011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345989 (or 1345985 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21322331011320 its reverse (2311013322312), we get a palindrome (23633344333632).

The spelling of 21322331011320 in words is "twenty-one trillion, three hundred twenty-two billion, three hundred thirty-one million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1283 1545 2060 2472 2566 3090 3849 4120 5132 6180 6415 7698 10264 12360 12830 15396 19245 25660 30792 38490 51320 76980 132149 153960 264298 396447 528596 660745 792894 1057192 1321490 1344589 1585788 1982235 2642980 2689178 3171576 3964470 4033767 5285960 5378356 6722945 7928940 8067534 10756712 13445890 15857880 16135068 20168835 26891780 32270136 40337670 53783560 80675340 138492667 161350680 276985334 415478001 553970668 692463335 830956002 1107941336 1384926670 1661912004 1725107687 2077390005 2769853340 3323824008 3450215374 4154780010 5175323061 5539706680 6900430748 8309560020 8625538435 10350646122 13800861496 16619120040 17251076870 20701292244 25876615305 34502153740 41402584488 51753230610 69004307480 103506461220 177686091761 207012922440 355372183522 533058275283 710744367044 888430458805 1066116550566 1421488734088 1776860917610 2132233101132 2665291376415 3553721835220 4264466202264 5330582752830 7107443670440 10661165505660 21322331011320