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20010100200012 = 223213731573730619
BaseRepresentation
bin1001000110010111101101…
…11010100001001001001100
32121211221120021202211100200
410203023312322201021030
510110321141122400022
6110320302500253500
74133452636221066
oct443136672411114
977757507684320
1020010100200012
11641526599a87a
1222b21120a1290
13b21c37984a50
144d26cb824736
1524a796937bac
hex1232f6ea124c

20010100200012 has 144 divisors (see below), whose sum is σ = 55569853116960. Its totient is φ = 6033931398144.

The previous prime is 20010100199989. The next prime is 20010100200023. The reversal of 20010100200012 is 21000200101002.

It is a super-2 number, since 2×200101002000122 (a number of 27 digits) contains 22 as substring.

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 = 20010100199967 and 20010100200003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3498439 + ... + 7229057.

Almost surely, 220010100200012 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 20010100200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27784926558480).

20010100200012 is an abundant number, since it is smaller than the sum of its proper divisors (35559752916948).

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

20010100200012 is a wasteful number, since it uses less digits than its factorization.

20010100200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730872 (or 3730867 counting only the distinct ones).

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

Adding to 20010100200012 its reverse (21000200101002), we get a palindrome (41010300301014).

The spelling of 20010100200012 in words is "twenty trillion, ten billion, one hundred million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 157 219 234 292 314 438 468 471 628 657 876 942 949 1314 1413 1884 1898 2041 2628 2826 2847 3796 4082 5652 5694 6123 8164 8541 11388 11461 12246 17082 18369 22922 24492 34164 34383 36738 45844 68766 73476 103149 137532 148993 206298 297986 412596 446979 595972 893958 1340937 1787916 2681874 3730619 5363748 7461238 11191857 14922476 22383714 33575571 44767428 48498047 67151142 96996094 134302284 145494141 193992188 272335187 290988282 436482423 544670374 581976564 585707183 817005561 872964846 1089340748 1171414366 1634011122 1745929692 1757121549 2342828732 2451016683 3268022244 3514243098 3540357431 4902033366 5271364647 7028486196 7080714862 7614193379 9804066732 10542729294 10621072293 14161429724 15228386758 21085458588 21242144586 22842580137 30456773516 31863216879 42484289172 42756624359 45685160274 63726433758 68527740411 85513248718 91370320548 127452867516 128269873077 137055480822 171026497436 256539746154 274110961644 384809619231 513079492308 555836116667 769619238462 1111672233334 1539238476924 1667508350001 2223344466668 3335016700002 5002525050003 6670033400004 10005050100006 20010100200012