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199999910000010 = 235232919994999999
BaseRepresentation
bin101101011110011000011011…
…100101110011010110001010
3222020010210201121021120210110
4231132120123211303112022
5202203244303430000020
61545210405032255150
760061342133322051
oct5536303345632612
9866123647246713
10199999910000010
11587a9538231a9a
121a5213a52414b6
138779bab739c53
143756093ab7398
15181c6cb2128e0
hexb5e61b97358a

199999910000010 has 128 divisors (see below), whose sum is σ = 518400000000000. Its totient is φ = 49230700307712.

The previous prime is 199999909999979. The next prime is 199999910000087. The reversal of 199999910000010 is 10000019999991.

199999910000010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

199999910000010 is a nontrivial binomial coefficient, being equal to C(19999996, 2).

It is a junction number, because it is equal to n+sod(n) for n = 199999909999896 and 199999909999905.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37499991 + ... + 42499989.

It is an arithmetic number, because the mean of its divisors is an integer number (4050000000000).

Almost surely, 2199999910000010 is an apocalyptic number.

199999910000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199999910000010 is the 19999995-th triangular number and also the 9999998-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199999910000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200000000000).

199999910000010 is an abundant number, since it is smaller than the sum of its proper divisors (318400089999990).

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

199999910000010 is a wasteful number, since it uses less digits than its factorization.

199999910000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002060.

The product of its (nonzero) digits is 531441, while the sum is 57.

The spelling of 199999910000010 in words is "one hundred ninety-nine trillion, nine hundred ninety-nine billion, nine hundred ten million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 1999 2001 3335 3998 4002 5997 6670 9995 10005 11994 19990 20010 29985 45977 57971 59970 91954 115942 137931 173913 229885 275862 289855 347826 459770 579710 689655 869565 1333333 1379310 1739130 2666666 3999999 4999999 6666665 7999998 9999998 13333330 14999997 19999995 24999995 29999994 39999990 49999990 74999985 114999977 144999971 149999970 229999954 289999942 344999931 434999913 574999885 689999862 724999855 869999826 1149999770 1449999710 1724999655 2174999565 3334999333 3449999310 4349999130 6669998666 9994998001 10004997999 16674996665 19989996002 20009995998 29984994003 33349993330 49974990005 50024989995 59969988006 99949980010 100049979990 149924970015 229884954023 289854942029 299849940030 459769908046 579709884058 689654862069 869564826087 1149424770115 1379309724138 1449274710145 1739129652174 2298849540230 2898549420290 3448274310345 4347824130435 6666663666667 6896548620690 8695648260870 13333327333334 19999991000001 33333318333335 39999982000002 66666636666670 99999955000005 199999910000010