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200101002010112 = 297422913202117
BaseRepresentation
bin101101011111110110100101…
…001001001101111000000000
3222020111110122212201210021202
4231133312211021031320000
5202211423323003310422
61545325044205040332
760101551240245350
oct5537664511157000
9866443585653252
10200101002010112
11588383a4015485
121a538ab88560a8
13878659c5606c8
14375ad23b96b60
151820146255b92
hexb5fda524de00

200101002010112 has 80 divisors (see below), whose sum is σ = 457035145601760. Its totient is φ = 85737287344128.

The previous prime is 200101002010093. The next prime is 200101002010127. The reversal of 200101002010112 is 211010200101002.

200101002010112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2001010020101122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200101002010093 and 200101002010102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8555678 + ... + 21757794.

It is an arithmetic number, because the mean of its divisors is an integer number (5712939320022).

Almost surely, 2200101002010112 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 200101002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228517572800880).

200101002010112 is an abundant number, since it is smaller than the sum of its proper divisors (256934143591648).

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

200101002010112 is an equidigital number, since it uses as much as digits as its factorization.

200101002010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13206371 (or 13206355 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200101002010112 its reverse (211010200101002), we get a palindrome (411111202111114).

The spelling of 200101002010112 in words is "two hundred trillion, one hundred one billion, two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 4229 8458 16916 29603 33832 59206 67664 118412 135328 236824 270656 473648 541312 947296 1082624 1894592 2165248 3789184 7578368 13202117 15156736 26404234 52808468 92414819 105616936 184829638 211233872 369659276 422467744 739318552 844935488 1478637104 1689870976 2957274208 3379741952 5914548416 6759483904 11829096832 23658193664 47316387328 55831752793 111663505586 223327011172 390822269551 446654022344 781644539102 893308044688 1563289078204 1786616089376 3126578156408 3573232178752 6253156312816 7146464357504 12506312625632 14292928715008 25012625251264 28585857430016 50025250502528 100050501005056 200101002010112