Search a number
-
+
200002212101112 = 233191251135057257
BaseRepresentation
bin101101011110011010100100…
…110011100111101111111000
3222020011000200001002102211020
4231132122210303213233320
5202203314012244213422
61545211425310302440
760061453156004061
oct5536324463475770
9866130601072736
10200002212101112
11587aa509758693
121a5219281b7a20
13877a187669555
143756231731568
15181c7b339b95c
hexb5e6a4ce7bf8

200002212101112 has 64 divisors (see below), whose sum is σ = 526363694515200. Its totient is φ = 63153543248640.

The previous prime is 200002212101063. The next prime is 200002212101141. The reversal of 200002212101112 is 211101212200002.

It is a junction number, because it is equal to n+sod(n) for n = 200002212101091 and 200002212101100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11823613 + ... + 23233644.

It is an arithmetic number, because the mean of its divisors is an integer number (8224432726800).

Almost surely, 2200002212101112 is an apocalyptic number.

It is an amenable number.

200002212101112 is an abundant number, since it is smaller than the sum of its proper divisors (326361482414088).

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

200002212101112 is a wasteful number, since it uses less digits than its factorization.

200002212101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35069796 (or 35069792 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200002212101112 its reverse (211101212200002), we get a palindrome (411103424301114).

The spelling of 200002212101112 in words is "two hundred trillion, two billion, two hundred twelve million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 12511 25022 37533 50044 75066 100088 150132 237709 300264 475418 713127 950836 1426254 1901672 2852508 5705016 35057257 70114514 105171771 140229028 210343542 280458056 420687084 666087883 841374168 1332175766 1998263649 2664351532 3996527298 5328703064 7993054596 15986109192 438601342327 877202684654 1315804026981 1754405369308 2631608053962 3508810738616 5263216107924 8333425504213 10526432215848 16666851008426 25000276512639 33333702016852 50000553025278 66667404033704 100001106050556 200002212101112