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200001100112112 = 243131436922305977
BaseRepresentation
bin101101011110011001100010…
…100001101110000011110000
3222020010220210112200112200110
4231132121202201232003300
5202203304223112041422
61545211123104421320
760061413464155455
oct5536314241560360
9866126715615613
10200001100112112
11587a9a98aa4912
121a521677917840
13877a03b17b8b0
143756167b9182c
15181c74a94860c
hexb5e66286e0f0

200001100112112 has 80 divisors (see below), whose sum is σ = 556452065100960. Its totient is φ = 61534514528256.

The previous prime is 200001100112069. The next prime is 200001100112117. The reversal of 200001100112112 is 211211001100002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200001100112117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2186733 + ... + 20119244.

It is an arithmetic number, because the mean of its divisors is an integer number (6955650813762).

Almost surely, 2200001100112112 is an apocalyptic number.

It is an amenable number.

200001100112112 is an abundant number, since it is smaller than the sum of its proper divisors (356450964988848).

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

200001100112112 is a wasteful number, since it uses less digits than its factorization.

200001100112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22320370 (or 22320364 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200001100112112 its reverse (211211001100002), we get a palindrome (411212101212114).

The spelling of 200001100112112 in words is "two hundred trillion, one billion, one hundred million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 14369 28738 43107 57476 86214 114952 172428 186797 229904 344856 373594 560391 689712 747188 1120782 1494376 2241564 2988752 4483128 8966256 22305977 44611954 66917931 89223908 133835862 178447816 267671724 289977701 356895632 535343448 579955402 869933103 1070686896 1159910804 1739866206 2319821608 3479732412 4639643216 6959464824 13918929648 320514583513 641029167026 961543750539 1282058334052 1923087501078 2564116668104 3846175002156 4166689585669 5128233336208 7692350004312 8333379171338 12500068757007 15384700008624 16666758342676 25000137514014 33333516685352 50000275028028 66667033370704 100000550056056 200001100112112