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21302120001132 = 223223291181751181
BaseRepresentation
bin1001101011111110010010…
…10010111010111001101100
32210102110111100222011201100
410311333021102322321230
510243003220210014012
6113150020412443100
74326012251302515
oct465771122727154
983373440864640
1021302120001132
1168731a6439483
1224805b0a79490
13bb6a2067cac9
145390571bba0c
1526e1b4e748dc
hex135fc94bae6c

21302120001132 has 144 divisors (see below), whose sum is σ = 58175019564480. Its totient is φ = 6552212620800.

The previous prime is 21302120001101. The next prime is 21302120001163. The reversal of 21302120001132 is 23110002120312.

It is an interprime number because it is at equal distance from previous prime (21302120001101) and next prime (21302120001163).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 27982582 + ... + 28733762.

It is an arithmetic number, because the mean of its divisors is an integer number (403993191420).

Almost surely, 221302120001132 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 21302120001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29087509782240).

21302120001132 is an abundant number, since it is smaller than the sum of its proper divisors (36872899563348).

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

21302120001132 is a wasteful number, since it uses less digits than its factorization.

21302120001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752424 (or 752419 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21302120001132 its reverse (23110002120312), we get a palindrome (44412122121444).

The spelling of 21302120001132 in words is "twenty-one trillion, three hundred two billion, one hundred twenty million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1181 1334 2001 2362 2668 3543 4002 4724 6003 7086 8004 10629 12006 14172 21258 24012 27163 34249 42516 54326 68498 81489 102747 108652 136996 162978 205494 244467 308241 325956 410988 488934 616482 751181 787727 977868 1232964 1502362 1575454 2253543 2363181 3004724 3150908 4507086 4726362 6760629 7089543 9014172 9452724 13521258 14179086 17277163 21784249 27042516 28358172 34554326 43568498 51831489 65352747 69108652 87136996 103662978 130705494 155494467 196058241 207325956 261410988 310988934 392116482 501037727 621977868 784232964 887144761 1002075454 1503113181 1774289522 2004150908 2661434283 3006226362 3548579044 4509339543 5322868566 6012452724 7984302849 9018679086 10645737132 15968605698 18037358172 20404329503 25727198069 31937211396 40808659006 51454396138 61212988509 77181594207 81617318012 102908792276 122425977018 154363188414 183638965527 231544782621 244851954036 308726376828 367277931054 463089565242 591725555587 734555862108 926179130484 1183451111174 1775176666761 2366902222348 3550353333522 5325530000283 7100706667044 10651060000566 21302120001132