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20011012021112 = 2374373137830939
BaseRepresentation
bin1001000110011001011010…
…10000110101101101111000
32121212000220211112010202112
410203030231100311231320
510110330023034133422
6110320533151551452
74133514350452460
oct443145520655570
977760824463675
1020011012021112
116415693666532
1222b232752b588
13b22051859b68
144d277697aba0
1524a7eb9ebee2
hex12332d435b78

20011012021112 has 128 divisors (see below), whose sum is σ = 44803752998400. Its totient is φ = 8201637255168.

The previous prime is 20011012021109. The next prime is 20011012021127. The reversal of 20011012021112 is 21112021011002.

It is a super-2 number, since 2×200110120211122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23666939 + ... + 24497877.

It is an arithmetic number, because the mean of its divisors is an integer number (350029320300).

Almost surely, 220011012021112 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 20011012021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22401876499200).

20011012021112 is an abundant number, since it is smaller than the sum of its proper divisors (24792740977288).

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

20011012021112 is a wasteful number, since it uses less digits than its factorization.

20011012021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831205 (or 831201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20011012021112 its reverse (21112021011002), we get a palindrome (41123033032114).

The spelling of 20011012021112 in words is "twenty trillion, eleven billion, twelve million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 43 56 73 86 137 146 172 274 292 301 344 511 548 584 602 959 1022 1096 1204 1918 2044 2408 3139 3836 4088 5891 6278 7672 10001 11782 12556 20002 21973 23564 25112 40004 41237 43946 47128 70007 80008 82474 87892 140014 164948 175784 280028 329896 430043 560056 830939 860086 1661878 1720172 3010301 3323756 3440344 5816573 6020602 6647512 11633146 12041204 23266292 24082408 35730377 46532584 60658547 71460754 113838643 121317094 142921508 227677286 242634188 250112639 285843016 424609829 455354572 485268376 500225278 796870501 849219658 910709144 1000450556 1593741002 1698439316 2000901112 2608317521 3187482004 3396878632 4895061649 5216635042 6374964008 8310220939 9790123298 10433270084 16620441878 18258222647 19580246596 20866540168 33240883756 34265431543 36516445294 39160493192 58171546573 66481767512 68530863086 73032890588 116343093146 137061726172 146065781176 232686186292 274123452344 357339500377 465372372584 714679000754 1429358001508 2501376502639 2858716003016 5002753005278 10005506010556 20011012021112