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20010100020012 = 22341916271997851
BaseRepresentation
bin1001000110010111101101…
…11001110101001100101100
32121211221120021102200110000
410203023312321311030230
510110321141101120022
6110320302452344300
74133452634541234
oct443136671651454
977757507380400
1020010100020012
116415265887613
1222b2112015090
13b21c37920b3b
144d26cb7b8cc4
1524a7968ee6ac
hex1232f6e7532c

20010100020012 has 120 divisors (see below), whose sum is σ = 55097401768640. Its totient is φ = 6315091970400.

The previous prime is 20010100020007. The next prime is 20010100020017. The reversal of 20010100020012 is 21002000101002.

It is an interprime number because it is at equal distance from previous prime (20010100020007) and next prime (20010100020017).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20010100019976 and 20010100020003.

It is not an unprimeable number, because it can be changed into a prime (20010100020017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9016887 + ... + 11014737.

Almost surely, 220010100020012 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 20010100020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27548700884320).

20010100020012 is an abundant number, since it is smaller than the sum of its proper divisors (35087301748628).

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

20010100020012 is a wasteful number, since it uses less digits than its factorization.

20010100020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999513 (or 1999502 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010100020012 its reverse (21002000101002), we get a palindrome (41012100121014).

The spelling of 20010100020012 in words is "twenty trillion, ten billion, one hundred million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 1627 2052 3078 3254 4881 6156 6508 9762 14643 19524 29286 30913 43929 58572 61826 87858 92739 123652 131787 175716 185478 263574 278217 370956 527148 556434 834651 1112868 1669302 1997851 2503953 3338604 3995702 5007906 5993553 7991404 10015812 11987106 17980659 23974212 35961318 37959169 53941977 71922636 75918338 107883954 113877507 151836676 161825931 215767908 227755014 323651862 341632521 455510028 647303724 683265042 1024897563 1366530084 2049795126 3074692689 3250503577 4099590252 6149385378 6501007154 9751510731 12298770756 13002014308 19503021462 29254532193 39006042924 58509064386 61759567963 87763596579 117018128772 123519135926 175527193158 185278703889 247038271852 263290789737 351054386316 370557407778 526581579474 555836111667 741114815556 1053163158948 1111672223334 1667508335001 2223344446668 3335016670002 5002525005003 6670033340004 10005050010006 20010100020012