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22320321132132 = 2232171072391426157
BaseRepresentation
bin1010001001100110110101…
…10011111111011001100100
32221000210122120000212002100
411010303122303333121210
510411144004202212012
6115245451452412100
74462406236151442
oct504633263773144
987023576025070
1022320321132132
117125aa44314a1
1226059b2477030
13c5ba4973ac3a
14572448a49b92
1528a9095738dc
hex144cdacff664

22320321132132 has 144 divisors (see below), whose sum is σ = 60550333159680. Its totient is φ = 6907980205056.

The previous prime is 22320321132127. The next prime is 22320321132203. The reversal of 22320321132132 is 23123112302322.

22320321132132 is a `hidden beast` number, since 2 + 2 + 320 + 3 + 2 + 11 + 321 + 3 + 2 = 666.

It is a super-3 number, since 3×223203211321323 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22320321132096 and 22320321132105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14937598 + ... + 16363754.

It is an arithmetic number, because the mean of its divisors is an integer number (420488424720).

Almost surely, 222320321132132 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 22320321132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30275166579840).

22320321132132 is an abundant number, since it is smaller than the sum of its proper divisors (38230012027548).

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

22320321132132 is a wasteful number, since it uses less digits than its factorization.

22320321132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426530 (or 1426525 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22320321132132 its reverse (23123112302322), we get a palindrome (45443433434454).

The spelling of 22320321132132 in words is "twenty-two trillion, three hundred twenty billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 107 153 204 214 239 306 321 428 478 612 642 717 956 963 1284 1434 1819 1926 2151 2868 3638 3852 4063 4302 5457 7276 8126 8604 10914 12189 16252 16371 21828 24378 25573 32742 36567 48756 51146 65484 73134 76719 102292 146268 153438 230157 306876 434741 460314 869482 920628 1304223 1426157 1738964 2608446 2852314 3912669 4278471 5216892 5704628 7825338 8556942 12835413 15650676 17113884 24244669 25670826 48489338 51341652 72734007 96978676 145468014 152598799 218202021 290936028 305197598 340851523 436404042 457796397 610395196 681703046 872808084 915592794 1022554569 1363406092 1373389191 1831185588 2045109138 2594179583 2746778382 3067663707 4090218276 5188359166 5493556764 5794475891 6135327414 7782538749 10376718332 11588951782 12270654828 15565077498 17383427673 23177903564 23347616247 31130154996 34766855346 36471112961 46695232494 52150283019 69533710692 72942225922 93390464988 104300566038 109413338883 145884451844 208601132076 218826677766 328240016649 437653355532 620008920337 656480033298 1240017840674 1312960066596 1860026761011 2480035681348 3720053522022 5580080283033 7440107044044 11160160566066 22320321132132