Search a number
-
+
100002111110012 = 224143113611039513
BaseRepresentation
bin10110101111001110001110…
…010011110011101101111100
3111010002002221001202000210102
4112233032032103303231330
5101101413310421010022
6552404200255100232
730030625352241026
oct2657161623635574
9433062831660712
10100002111110012
11299557257433a1
12b2710b4811678
1343a520a623977
141a9a1b1351016
15b8643eccda92
hex5af38e4f3b7c

100002111110012 has 48 divisors (see below), whose sum is σ = 179820221180544. Its totient is φ = 48632529408000.

The previous prime is 100002111110009. The next prime is 100002111110039. The reversal of 100002111110012 is 210011111200001.

It is a super-3 number, since 3×1000021111100123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100002111109975 and 100002111110002.

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, 95681168 + ... + 96720680.

It is an arithmetic number, because the mean of its divisors is an integer number (3746254607928).

Almost surely, 2100002111110012 is an apocalyptic number.

It is an amenable number.

100002111110012 is a deficient number, since it is larger than the sum of its proper divisors (79818110070532).

100002111110012 is a wasteful number, since it uses less digits than its factorization.

100002111110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041350 (or 1041348 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100002111110012 its reverse (210011111200001), we get a palindrome (310013222310013).

The spelling of 100002111110012 in words is "one hundred trillion, two billion, one hundred eleven million, one hundred ten thousand, twelve".

Divisors: 1 2 4 41 82 164 431 862 1361 1724 2722 5444 17671 35342 55801 70684 111602 223204 586591 1039513 1173182 2079026 2346364 4158052 24050231 42620033 48100462 85240066 96200924 170480132 448030103 896060206 1414777193 1792120412 2829554386 5659108772 18369234223 36738468446 58005864913 73476936892 116011729826 232023459652 609768970183 1219537940366 2439075880732 25000527777503 50001055555006 100002111110012