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20021011002112 = 281729199797161
BaseRepresentation
bin1001000110101100000010…
…01111111011001100000000
32121212222201200101000002011
410203112001033323030000
510111011012304031422
6110325305300502304
74134320213421541
oct443260117731400
977788650330064
1020021011002112
11641995484499a
1222b42580aa994
13b22c8627b573
144d30449164c8
1524abd4758077
hex1235813fb300

20021011002112 has 144 divisors (see below), whose sum is σ = 43993776456000. Its totient is φ = 9051043921920.

The previous prime is 20021011002103. The next prime is 20021011002133. The reversal of 20021011002112 is 21120011012002.

It is a junction number, because it is equal to n+sod(n) for n = 20021011002092 and 20021011002101.

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 15 ways as a sum of consecutive naturals, for example, 24716812 + ... + 25513972.

It is an arithmetic number, because the mean of its divisors is an integer number (305512336500).

Almost surely, 220021011002112 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 20021011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21996888228000).

20021011002112 is an abundant number, since it is smaller than the sum of its proper divisors (23972765453888).

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

20021011002112 is a wasteful number, since it uses less digits than its factorization.

20021011002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797422 (or 797408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20021011002112 its reverse (21120011012002), we get a palindrome (41141022014114).

The spelling of 20021011002112 in words is "twenty trillion, twenty-one billion, eleven million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 199 232 256 272 398 464 493 544 796 928 986 1088 1592 1856 1972 2176 3184 3383 3712 3944 4352 5771 6368 6766 7424 7888 11542 12736 13532 15776 23084 25472 27064 31552 46168 50944 54128 63104 92336 98107 108256 126208 184672 196214 216512 369344 392428 433024 738688 784856 797161 866048 1477376 1569712 1594322 3139424 3188644 6278848 6377288 12557696 12754576 13551737 23117669 25115392 25509152 27103474 46235338 51018304 54206948 92470676 102036608 108413896 158635039 184941352 204073216 216827792 317270078 369882704 393000373 433655584 634540156 739765408 786000746 867311168 1269080312 1479530816 1572001492 1734622336 2538160624 2696795663 2959061632 3144002984 3469244672 4600416131 5076321248 5393591326 5918123264 6288005968 9200832262 10152642496 10787182652 12576011936 18401664524 20305284992 21574365304 25152023872 36803329048 40610569984 43148730608 50304047744 73606658096 78207074227 86297461216 100608095488 147213316192 156414148454 172594922432 294426632384 312828296908 345189844864 588853264768 625656593816 690379689728 1177706529536 1251313187632 2502626375264 5005252750528 10010505501056 20021011002112