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21000201220000 = 25542114976351
BaseRepresentation
bin1001100011001011111011…
…00010001010111110100000
32202100121012010111222002101
410301211331202022332200
510223031403003020000
6112355205333300144
74265133364066102
oct461457542127640
982317163458071
1021000201220000
116767154129552
122431b90a94654
13b94406172c62
145285b52c3572
152663e40e7e6a
hex13197d88afa0

21000201220000 has 120 divisors (see below), whose sum is σ = 51908506860672. Its totient is φ = 8360268000000.

The previous prime is 21000201219967. The next prime is 21000201220001. The reversal of 21000201220000 is 2210200012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21000201220001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1731825 + ... + 6708175.

Almost surely, 221000201220000 is an apocalyptic number.

21000201220000 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 21000201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25954253430336).

21000201220000 is an abundant number, since it is smaller than the sum of its proper divisors (30908305640672).

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

21000201220000 is an equidigital number, since it uses as much as digits as its factorization.

21000201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976592 (or 4976569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21000201220000 its reverse (2210200012), we get a palindrome (21002411420012).

The spelling of 21000201220000 in words is "twenty-one trillion, two hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 211 250 400 422 500 625 800 844 1000 1055 1250 1688 2000 2110 2500 3376 4000 4220 5000 5275 6752 8440 10000 10550 16880 20000 21100 26375 33760 42200 52750 84400 105500 131875 168800 211000 263750 422000 527500 844000 1055000 2110000 4220000 4976351 9952702 19905404 24881755 39810808 49763510 79621616 99527020 124408775 159243232 199054040 248817550 398108080 497635100 622043875 796216160 995270200 1050010061 1244087750 1990540400 2100020122 2488175500 3110219375 3981080800 4200040244 4976351000 5250050305 6220438750 8400080488 9952702000 10500100610 12440877500 16800160976 19905404000 21000201220 24881755000 26250251525 33600321952 42000402440 49763510000 52500503050 84000804880 99527020000 105001006100 131251257625 168001609760 210002012200 262502515250 420004024400 525005030500 656256288125 840008048800 1050010061000 1312512576250 2100020122000 2625025152500 4200040244000 5250050305000 10500100610000 21000201220000