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20021112002112 = 2631332212490307
BaseRepresentation
bin1001000110101100001110…
…10001001101011001000000
32121212222222201102100000220
410203112013101031121000
510111011214133031422
6110325323305343040
74134322551050304
oct443260721153100
977788881370026
1020021112002112
1164199a6859771
1222b4285a97a80
13b22ca1182290
144d30540c7d04
1524abdd558e5c
hex12358744d640

20021112002112 has 112 divisors (see below), whose sum is σ = 57065069138112. Its totient is φ = 6158427125760.

The previous prime is 20021112002093. The next prime is 20021112002113. The reversal of 20021112002112 is 21120021112002.

It is a super-2 number, since 2×200211120021122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20021112002091 and 20021112002100.

It is not an unprimeable number, because it can be changed into a prime (20021112002113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6794463 + ... + 9284769.

It is an arithmetic number, because the mean of its divisors is an integer number (509509545876).

Almost surely, 220021112002112 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 20021112002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28532534569056).

20021112002112 is an abundant number, since it is smaller than the sum of its proper divisors (37043957136000).

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

20021112002112 is a wasteful number, since it uses less digits than its factorization.

20021112002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493556 (or 2493546 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20021112002112 its reverse (21120021112002), we get a palindrome (41141133114114).

The spelling of 20021112002112 in words is "twenty trillion, twenty-one billion, one hundred twelve million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 3221 6442 9663 12884 19326 25768 38652 41873 51536 77304 83746 103072 125619 154608 167492 206144 251238 309216 334984 502476 618432 669968 1004952 1339936 2009904 2490307 2679872 4019808 4980614 7470921 8039616 9961228 14941842 19922456 29883684 32373991 39844912 59767368 64747982 79689824 97121973 119534736 129495964 159379648 194243946 239069472 258991928 388487892 478138944 517983856 776975784 1035967712 1553951568 2071935424 3107903136 6215806272 8021278847 16042557694 24063836541 32085115388 48127673082 64170230776 96255346164 104276625011 128340461552 192510692328 208553250022 256680923104 312829875033 385021384656 417106500044 513361846208 625659750066 770042769312 834213000088 1251319500132 1540085538624 1668426000176 2502639000264 3336852000352 5005278000528 6673704000704 10010556001056 20021112002112